Solving a Ratio Problem with Three Variables

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
0
down vote

favorite












A question that just popped in my head after reading an article:




If the radius of Planet X is 16% larger than that of Earth, and Planet X has 40% the radius of Planet Y, then what is the radius of Planet Y in terms of Earth radii?




I'm having trouble trying to figure this one out. How would we solve this one?



I understand we may have to define one variable in terms of another to get the desired result, but again, I seem to be failing miserably at it.






ratio







share|cite|improve this question























  • I literally just realized that and removed it. You beat me to it!
    – TRX
    Nov 12 '15 at 4:07










  • Also, I have since reworded the problem accordingly.
    – TRX
    Nov 12 '15 at 4:11














up vote
0
down vote

favorite












A question that just popped in my head after reading an article:




If the radius of Planet X is 16% larger than that of Earth, and Planet X has 40% the radius of Planet Y, then what is the radius of Planet Y in terms of Earth radii?




I'm having trouble trying to figure this one out. How would we solve this one?



I understand we may have to define one variable in terms of another to get the desired result, but again, I seem to be failing miserably at it.






ratio







share|cite|improve this question























  • I literally just realized that and removed it. You beat me to it!
    – TRX
    Nov 12 '15 at 4:07










  • Also, I have since reworded the problem accordingly.
    – TRX
    Nov 12 '15 at 4:11












up vote
0
down vote

favorite









up vote
0
down vote

favorite











A question that just popped in my head after reading an article:




If the radius of Planet X is 16% larger than that of Earth, and Planet X has 40% the radius of Planet Y, then what is the radius of Planet Y in terms of Earth radii?




I'm having trouble trying to figure this one out. How would we solve this one?



I understand we may have to define one variable in terms of another to get the desired result, but again, I seem to be failing miserably at it.






ratio







share|cite|improve this question















A question that just popped in my head after reading an article:




If the radius of Planet X is 16% larger than that of Earth, and Planet X has 40% the radius of Planet Y, then what is the radius of Planet Y in terms of Earth radii?




I'm having trouble trying to figure this one out. How would we solve this one?



I understand we may have to define one variable in terms of another to get the desired result, but again, I seem to be failing miserably at it.






ratio




ratio






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 12 '15 at 4:07

























asked Nov 12 '15 at 4:02









TRX

42




42











  • I literally just realized that and removed it. You beat me to it!
    – TRX
    Nov 12 '15 at 4:07










  • Also, I have since reworded the problem accordingly.
    – TRX
    Nov 12 '15 at 4:11
















  • I literally just realized that and removed it. You beat me to it!
    – TRX
    Nov 12 '15 at 4:07










  • Also, I have since reworded the problem accordingly.
    – TRX
    Nov 12 '15 at 4:11















I literally just realized that and removed it. You beat me to it!
– TRX
Nov 12 '15 at 4:07




I literally just realized that and removed it. You beat me to it!
– TRX
Nov 12 '15 at 4:07












Also, I have since reworded the problem accordingly.
– TRX
Nov 12 '15 at 4:11




Also, I have since reworded the problem accordingly.
– TRX
Nov 12 '15 at 4:11










1 Answer
1






active

oldest

votes

















up vote
0
down vote













Let $X$, $Y$ and $E$ be the radii of the two planets and Earth, respectively. Then



$X = 1.16E$



and



$X = 1.40Y$



Substitution gives you $1.16E = 1.40Y$



Solve that equation for $Y$ and you'll have the result that you're looking for.






share|cite|improve this answer






















  • x is 16% larger, not 16% of total.
    – fleablood
    Nov 12 '15 at 4:15










  • It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
    – TRX
    Nov 12 '15 at 4:18










  • Easy enough to fix. I edited my post to reflect the new wording.
    – G. Allen
    Nov 12 '15 at 4:20










  • Shouldn't that be X = 0.4Y?
    – TRX
    Nov 12 '15 at 4:22










Your Answer




StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: false,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













 

draft saved


draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1525254%2fsolving-a-ratio-problem-with-three-variables%23new-answer', 'question_page');

);

Post as a guest

















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
0
down vote













Let $X$, $Y$ and $E$ be the radii of the two planets and Earth, respectively. Then



$X = 1.16E$



and



$X = 1.40Y$



Substitution gives you $1.16E = 1.40Y$



Solve that equation for $Y$ and you'll have the result that you're looking for.






share|cite|improve this answer






















  • x is 16% larger, not 16% of total.
    – fleablood
    Nov 12 '15 at 4:15










  • It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
    – TRX
    Nov 12 '15 at 4:18










  • Easy enough to fix. I edited my post to reflect the new wording.
    – G. Allen
    Nov 12 '15 at 4:20










  • Shouldn't that be X = 0.4Y?
    – TRX
    Nov 12 '15 at 4:22














up vote
0
down vote













Let $X$, $Y$ and $E$ be the radii of the two planets and Earth, respectively. Then



$X = 1.16E$



and



$X = 1.40Y$



Substitution gives you $1.16E = 1.40Y$



Solve that equation for $Y$ and you'll have the result that you're looking for.






share|cite|improve this answer






















  • x is 16% larger, not 16% of total.
    – fleablood
    Nov 12 '15 at 4:15










  • It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
    – TRX
    Nov 12 '15 at 4:18










  • Easy enough to fix. I edited my post to reflect the new wording.
    – G. Allen
    Nov 12 '15 at 4:20










  • Shouldn't that be X = 0.4Y?
    – TRX
    Nov 12 '15 at 4:22












up vote
0
down vote










up vote
0
down vote









Let $X$, $Y$ and $E$ be the radii of the two planets and Earth, respectively. Then



$X = 1.16E$



and



$X = 1.40Y$



Substitution gives you $1.16E = 1.40Y$



Solve that equation for $Y$ and you'll have the result that you're looking for.






share|cite|improve this answer














Let $X$, $Y$ and $E$ be the radii of the two planets and Earth, respectively. Then



$X = 1.16E$



and



$X = 1.40Y$



Substitution gives you $1.16E = 1.40Y$



Solve that equation for $Y$ and you'll have the result that you're looking for.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Nov 12 '15 at 4:20

























answered Nov 12 '15 at 4:12









G. Allen

1564




1564











  • x is 16% larger, not 16% of total.
    – fleablood
    Nov 12 '15 at 4:15










  • It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
    – TRX
    Nov 12 '15 at 4:18










  • Easy enough to fix. I edited my post to reflect the new wording.
    – G. Allen
    Nov 12 '15 at 4:20










  • Shouldn't that be X = 0.4Y?
    – TRX
    Nov 12 '15 at 4:22
















  • x is 16% larger, not 16% of total.
    – fleablood
    Nov 12 '15 at 4:15










  • It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
    – TRX
    Nov 12 '15 at 4:18










  • Easy enough to fix. I edited my post to reflect the new wording.
    – G. Allen
    Nov 12 '15 at 4:20










  • Shouldn't that be X = 0.4Y?
    – TRX
    Nov 12 '15 at 4:22















x is 16% larger, not 16% of total.
– fleablood
Nov 12 '15 at 4:15




x is 16% larger, not 16% of total.
– fleablood
Nov 12 '15 at 4:15












It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
– TRX
Nov 12 '15 at 4:18




It was my mistake. G. Allen based this answer on the problem before I made an edit to it. Apologies.
– TRX
Nov 12 '15 at 4:18












Easy enough to fix. I edited my post to reflect the new wording.
– G. Allen
Nov 12 '15 at 4:20




Easy enough to fix. I edited my post to reflect the new wording.
– G. Allen
Nov 12 '15 at 4:20












Shouldn't that be X = 0.4Y?
– TRX
Nov 12 '15 at 4:22




Shouldn't that be X = 0.4Y?
– TRX
Nov 12 '15 at 4:22

















 

draft saved


draft discarded















































 


draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f1525254%2fsolving-a-ratio-problem-with-three-variables%23new-answer', 'question_page');

);

Post as a guest
































































-

這個網誌中的熱門文章

tkz-euclide: tkzDrawCircle[R] not working

圖片
Clash Royale CLAN TAG #URR8PPP up vote 4 down vote favorite tkzDrawArc[R,arc](B,1.1*dBD)(20,83) works well. But tkzDrawCircle[R] is not working... documentclass[border=2pt]standalone usepackage[usenames,dvipsnames,svgnames]xcolor usepackagetkz-euclide usetkzobjall definecolorfondpaillecmyk0,0,0.1,0 pagecolorfondpaille colorMaroon begindocument begintikzpicture[scale=1.0] tkzDefPoint(0,0)B tkzDefPoint(0,6)A tkzDefPoint(8,0)C tkzLabelPoints[below](B,C) tkzLabelPoints[left](A) tkzDrawSegment[thick](A,B) tkzDrawSegment[thick](C,B) tkzDrawSegment[thick](A,C) tkzDefMidPoint(B,C)tkzGetPointM tkzInterLC(A,C)(M,C) tkzGetPointsDE tkzLabelPoints[above](D) tkzDrawSegment[thick](B,D) tkzCalcLength[cm](B,D) tkzGetLengthdBD tkzDrawArc[R,arc](B,1.1*dBD)(20,83) tkzDrawCircle[R](A,1.1*dBD) %tkzInterLC[R](A,C)(B,1.1*dBD) tkzGetPointsD_1D_2 endtikzpicture enddocument tkz-euclide share | improve this question edited Aug 13 at 7:07 Max 5,023 1 15 25 asked Aug 13 at 5:...
閱讀完整內容

How to combine Bézier curves to a surface?

圖片
Clash Royale CLAN TAG #URR8PPP up vote 2 down vote favorite My aim is to smooth the terrain in a video game. Therefore I contrived an algorithm that makes use of Bézier curves of different orders. But this algorithm is defined in a two dimensional space for now. To shift it into the third dimension I need to somehow combine the Bézier curves. Given two curves in each two dimensions, how can I combine them to build a surface? I thought about something like a curve of a curve. Or maybe I could multiply them somehow. How can I combine them to cause the wanted behavior? Is there a common approach? In the image you can see the input, on the left, and the output, on the right, of the algorithm that works in a two dimensional space. For the real application there is a three dimensional input. The algorithm relays only on the adjacent tiles. Given these it will define the control points of the mentioned Bézier cur...
閱讀完整內容

1st Magritte Awards

圖片
1st Magritte Awards Official poster Date 5 February 2011  ( 2011-02-05 ) Site Square Mont des Arts, Brussels, Belgium Hosted by Helena Noguerra Produced by José Bouquiaux Directed by Vincent J. Gustin Highlights Best Film Mr. Nobody Most awards Mr. Nobody (6) Most nominations Illegal (8) Television coverage Network BeTV Magritte Awards 2nd → The 1st Magritte Awards ceremony, presented by the Académie André Delvaux, honored the best films of 2010 in Belgium and took place on 5 February 2011 at the Square in the historic site of Mont des Arts, Brussels, beginning at 7:30 p.m. CET. During the ceremony, the Académie André Delvaux presented Magritte Awards in twenty categories. The ceremony, televised in Belgium by BeTV, was produced by José Bouquiaux and directed by Vincent J. Gustin. [1] Film director Jaco Van Dormael presided the ceremony, while actress Helena Noguerra hosted the evening. [2] The pre-show ceremony was hoste...
閱讀完整內容