Question 1002780
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The value of a number of dimes and quarters is $2.05. If the quarters were replaced by nickels, the value would be $1.05. Find the number of each coin
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Let d = # of dimes and
    q = # of quarters.

Then you have a system of 2 equations in 2 unknowns

10d + 25q = 205,
10d +  5q = 105.

Distract the second equation from the first one. You will get

20q = 100. Hence, q = 5.

Then d = {{{(105-5*5)/10}}} = 8.

<U>Answer</U>. q = 5,   d = 8.
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