SOLUTION: Hailie bought 30 stamps for $41.94. Some of them were $3.00 stamps and the rest were 33-cent stamps. How many of each kind did she buy?

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Question 1034763: Hailie bought 30 stamps for $41.94. Some of them were $3.00 stamps and the rest were 33-cent stamps. How many of each kind did she buy?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let the $3 stamps be x and $0.33 stamps be y
x+y = 30 subtract y from both sides:
x = 30-y
We also have the following:
3x+0.33y = 41.94 substitute for x:
3(30-y)+0.33y = 41.94
90-3y+0.33y = 41.94
-2.67y = -48.06 Divide both sides by -2.67 and remember -/- = +
y = 18 stamps of 33 cents and
30-18 = 12 stamps of $3
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Check:
18*0.33 = 5.94
12*3 = 36
5.94+36 = 41.94 Correct