SOLUTION: you have $2.75 in quarters and dimes however your sister who has $6 as two times as many quarters and three times as many dimes how many total points do the two of you have

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Question 1153591: you have $2.75 in quarters and dimes however your sister who has $6 as two times as many quarters and three times as many dimes how many total points do the two of you have
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
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you have $2.75 in quarters and dimes however your sister who has $6 as two times as many quarters and three times as many dimes how many total points COINS do the two of you have ?
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you:



sister:




You could solve the system for the number of coins "you" have, and from that find the total coins of each which you and sister have:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let quarters be and dimes
we know that is $ and is $
if you have $ in quarters and dimes, then
.......solve for


.....eq.1.
however your sister who has $ as times as many quarters and times as many dimes
and

......eq.2,

substitute from eq.1.

......solve for






go to
.....eq.1., substitute



so, you have quarters and dimes
check how much money you have:


your sister have:
quarters and dimes
your sister has quarters and dimes

check how much money she has:



Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


You have q quarters and d dimes; the total value in cents is 25(q)+10(d) = 275.

Your sister has 2q quarters and 3d dimes; the total value is 25(2q)+10(3d) = 600.




Multiply the first equation by 2 (i.e., double what you have):



Subtract this equation from your sister's equation (i.e., compare what you now have to what your sister has):




Substitute d=5 in the equation for what you have to solve for q (i.e., knowing that your total is 275 cents and that the number of dimes you have is 5, determine the number of quarters you have):





The number of quarters you have is 9.

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I have done as much as I can with the information you gave.

But I don't know what "the answer" is, because you didn't ask a question....
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