SOLUTION: roberta has $4.00 in dimes and quarters. She has 5 more dimes than quarters. Write a system of equations that you could use to find how many dimes and quarters she has.

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: roberta has $4.00 in dimes and quarters. She has 5 more dimes than quarters. Write a system of equations that you could use to find how many dimes and quarters she has.       Log On

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Question 1065518: roberta has $4.00 in dimes and quarters. She has 5 more dimes than quarters. Write a system of equations that you could use to find how many dimes and quarters she has.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=dimes
y=quarters
x=y+5
.10x+.25 y=4.00
That is the system of equations
multiply the bottom by -10
-x-2.5 y=-40
substitute
-y-5-2.5y=-40
-3.5y=-35
y=10 quarters (2.50)
y+5=15 dimes (1.50)
add to 4.00