Problema Solution

a man has a collection of dimes and quaters with a total value of $3.50. If hw has 7 more dimes then quarters, how many of each coin does he have?

Answer provided by our tutors

We know that:

1 dime = 10 cents

1 quarter = 25 cents

Let

d = the number of dimes, d>0

q = the number of quarters, q>0

The man has 7 more dimes then quarters:

d = 7 + q

The dimes and the quarters altogether have a total value of $3.50 = 350 cents:

10d + 25q = 350

We have the following system of equations:

d = 7 + q

10d + 25q = 350

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click here to see number of quarters and dimes calculation

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d = 15 dimes

q = 8 quarters

The man has 15 dimes and 8 quarters.