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Jacob has a total of 64 quarters and dimes that have a combined value of $13.45. How many quarters and dimes are there?

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abiolataiwo2015

If Jacob has a total of 64 quarters and dimes. The number of quarters and dimes that are there is: 47 quarters and 17 dimes.

Numbers of quarters and dimes

Number of dimes = d

Number of quarters = q

Hence:

d+q=60

10d+.25q=13.45

Substitution

d=64-q

(.10)(64-q) + (.25)q = 13.45

6.4-.10q+.25q=13.45

-.10q+.25q=7.05

.15q=7.05

q=7.05/.15

q=47

Substitute this back in the original equation:

d+47=64

d=64-47

d=17

Therefore the number of  quarters and dimes that are there is: 47 quarters and 17 dimes.

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