SOLUTION: is it possible to spend $3.00 for 100 stamps consisting of 2-cent stamps and 5-stamps?

Question 23735: is it possible to spend $3.00 for 100 stamps consisting of 2-cent stamps and 5-stamps?
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
If there are 100 stamps, then let x = number of one type of stamp (either one will do!!):
Let x = number of 5 cent stamps
100-x = number of 2 cent stamps

.05x = value of the 5 cent stamps
.02(100-x) = value of the 2 cent stamps

The value of the stamps is $3.00, so
.05x + .02(100-x) = 3.00
.05x + 2.00 - .02x = 3.00
.03x + 2.00 = 3.00

Subtract 2.00 from each side:
.03x + 2.00 -2.00= 3.00-2.00
.03x = 1.00

Divide both sides by .03:
.03x = 1.00

x= 33 1/3 stamps

This is NOT possible, since the answer did not come out even. You can't have one third of a stamp.

R^2 at SCC

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