SOLUTION: Rachel has three less quarters than dimes. If she has a total of $2.75, which equation can be used to determine the number of quarters and dimes she has if y represents the number

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Question 1027905: Rachel has three less quarters than dimes. If she has a total of $2.75, which equation can be used to determine the number of quarters and dimes she has if y represents the number of quarters?
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28q=d-3%2Cq=y=quarters%2C0.25q%2B0.1d=2.75%29

0.25y%2B0.1d=2.75-------this is probably what you want but it is not simplified.
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d=q%2B3
d=y%2B3
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0.25y%2B0.1%28y%2B3%29=2.75
0.25y%2B0.1y%2B0.3=2.75
0.35y=2.45
y=245%2F35
y=%285%2A7%2A7%29%2F%285%2A7%29
highlight%28y=7%29-------and then highlight%28d=10%29.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rachel has three less quarters than dimes.
If she has a total of $2.75, which equation can be used to determine the number of quarters and dimes she has if y represents the number of quarters?
:
y = no. of quarters
"three less quarters than dime"; therefore
(y + 3) = no. of dimes
:
.10(y+3) + .25y = 2.75 is the equation
solve
.10y + .30 + .25y = 2.75
.10y + .25y = 2.75 - .30
.35y = 2.45
y = 2.45/.35
y = 7 quarters
then we know y + 3 = no. of dimes, therfore
7 + 3 = 10 dimes
:
:
Check this
7*.25 = 1.75
10*.10 = 1.00
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Total$: 2.75