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) About Me  (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:
25q%2B10d=275
5q%2B2d=55

sister:
2%2A25%2A2q%2B10%2A3d=600
2%2A5%2A2q%2B2%2A3d=60
5%2A2q%2B3d=30

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:
system%285q%2B2d=55%2C10q%2B3d=60%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let quarters be q and dimes d
we know that 1q is $0.25 and 1d is $0.10
if you have $2.75 in quarters and dimes, then
0.25q%2B0.10d=2.75.......solve for q
0.25q=2.75-0.10d
q=2.75%2F0.25-0.10d%2F0.25
q=11-0.40d.....eq.1.
however your sister who has $6 as 2 times as many quarters and 3 times as many dimes
2q and 3d
0.25%2A2q%2B0.10%2A3d=6
0.50q%2B0.30d=6......eq.2,

substitute q from eq.1.

0.50%2811-0.40d%29%2B0.30d=6......solve for d
5.5-0.20d%2B0.30d=6
5.5%2B0.10d=6
0.10d=6-5.5
0.10d=0.5
d=0.5%2F0.10
highlight%28d=5%29
go to
q=11-0.40d.....eq.1., substitute d
q=11-0.40%2A5
q=11-2
highlight%28q=9%29
so, you have highlight%289%29 quarters and highlight%285%29 dimes
check how much money you have:
0.25%2A9%2B0.10%2A5=2.25%2B0.50=2.75

your sister have:
2q=2%2A9=18 quarters and 3d=3%2A5=15 dimes
your sister has highlight%2818%29 quarters and highlight%2815%29 dimes

check how much money she has:
0.25%2A18%2B0.10%2A55=4.50%2B1.50=6


Answer by greenestamps(13203) About Me  (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.

25q%2B10d+=+275
50q%2B30d+=+600

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

50q%2B20d+=+550

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

10d+=+50
d+=+5

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):

25q%2B10%285%29+=+275
25q+=+225
q+=+225%2F25+=+9

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....