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?

There are 211 quarters and 216 dimes

Explanation:

To answer this question, we need to properly understand what a dime is and what a quarter is. A quarter is 25 cents while a dime is 10 cents in value.

Let the number of dimes present be d and the number of quarters present be q.

We are told that he has 5 more dimes than quarters.

Mathematically, this means that:

d - q = 5 or d = q+ 5 (I)

The total value there is $74.35. In cents, this has a value of 7435 cents.

Mathematically:

25q + 10d = 7435(ii)

We substitute what we have in 1 in 2

25q + 10(q+5) = 7435

25q + 10q + 50 = 7435

35q + 50 = 7435

35q = 7435-50

35q = 7385

q = 7385/35

q = 211

Recall, d = q+ 5 ; d = 211 + 5 = 216

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