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the answer is found by using a system of equations. the first says that you need two types of coins that add up to 30.

x+y=30

the second is an equation denoting that the values of coins x and y must add up to 10.75 (the change)

0.25x+0.5y=10.75

we solve this system:

x+ y=30

.25x+.5y=10.75

Answer 13 half dollars and 17 quarters

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Q: A student makes a 9.25 purchase at the bookstore with a 20 bill the store has no bills and gives the change in quarters and fifty-cent prices there are 30 coins in all how many of each kind are there?
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