Question

the sum of $2700 is to be given in the form of 63 prizes if the prize is of either $100 or $25 find the number of prizes each type

Answer 1

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Equations:
Quantity Eq: h + t = 63
Value Eq: 100h+25t = 2700
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Modify:
4h + 4t = 4*63
4h + t = 108
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Subtract and solve for "t":
3t = 144
t = 48 (# of $25 prizes)
Solve for "h":
h + t = 63
h = 63-48
h = 15 (# of $100 prizes)
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