SOLUTION: The total number of the dimes and quarters in a bank is $23.70. There are 8 fewer dimes than quarters. Find the number of dimes in the bank.

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Question 188884: The total number of the dimes and quarters in a bank is $23.70. There are 8 fewer dimes than quarters. Find the number of dimes in the bank.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x=number of quarters.
x-8=number of dimes.
.25x+.10(x-8)=23.70
.25x+.10x-.8=23.70
.35x=23.70+.8
.35x=24.50
x=24.50/.35
x=70 quarters.
70-8=62 number of dimes.
Proof:
.25*70+.10*62=23.70
17.50+6.20=23.70
23.70=23.70