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.
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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