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motikmotik
3 years ago
15

Tyler has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of eac

h coin does he have?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Tyler has 7 dimes and 36 quarters.

<u><em>Explanation</em></u>

Suppose, the number of dimes is x

As the number of quarters is eight more than four times the number of dimes, so the number of quarters =4x+8

Value of one dime is $0.10 and value of one quarter is $0.25

Given that, total value of all dimes and quarters is $9.70

So, the equation will be....

0.10x+0.25(4x+8)=9.70\\ \\ 0.10x+1x+2=9.70\\ \\ 1.10x+2=9.70\\ \\ 1.10x= 9.70-2\\ \\ 1.10x=7.70\\ \\ x=\frac{7.70}{1.10}=7

So, the number of dimes is 7 and the number of quarters =4(7)+8=28+8=36

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