SOLUTION: Brendan has a change jar that contains only quarters and half dollars. He has 53 coins which add up to a total of $20.50. How many of each type of coin does he have?

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Question 1129929: Brendan has a change jar that contains only quarters and half dollars. He has 53 coins which add up to a total of $20.50. How many of each type of coin does he have?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
If the number of half dollars is H, then the number of quarters is (53-H),


and the money equation is


50*H + 25*(53-H) = 2050 cents,


50H + 25*53 - 25H = 2050,

25H = 2050 - 25*53  ====>  H =  = 29.


ANSWER.  29 half dollar coins and the rest,  53-29 = 24 quarters.

Solved.



Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
x, the count of half-dollars
53-x, the count of the quarters


.
.
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