Ricky has 4 times as many dimes as quarters. He has 80 fewer half dollars than dimes. Altogether, Ricky has 289 coins. How many half dollars does Ricky have?
d+q+h = 28
4q = d
h+80 = d
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d+q+h = 289
4q + q + d-80 = 289
4q + q + 4q -80 = 289+80 = 369
9q = 289+80 = 369
q = 369/9 = 41
d = 4q = 164
h = 84
Check that.