SOLUTION: Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.35. How many quarters and how many dimes are there i

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.35. How many quarters and how many dimes are there i      Log On

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Question 1052875: Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.35. How many quarters and how many dimes are there in Steve’s piggy bank?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
number of quarters=x
dimes=x+5
0.10(x+5)+0.25x=74.35
0.10x+0.50+0.25x=74.35
0.35x=73.85, comgining moving terms
divide both sides by 0.35
x=211 quarters, which is $52.75 ANSWER
x+5=216 dimes, which is $21.60 ANSWER
That total is $74.35