SOLUTION: A shopper brought 35 stamps in 25-cent and 15-cent denominations. If the total spent on the stamps was $7.05, how many 15-cent stamps were bought?

Question 1002794: A shopper brought 35 stamps in 25-cent and 15-cent denominations. If the total spent on the stamps was $7.05, how many 15-cent stamps were bought?
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
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A shopper 35 stamps in 25-cent and 15-cent denominations. If the total spent on the stamps was $7.05, how many 15-cent stamps were bought?
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Answer. 18 stamps in 25 cents and 17 stamps in 15 cents.

Solution

Let us assume for a minute that all the stamps are in 15 cents each.
Then the total cost would be 35*15 = 525 cents = $5.25, which is in $1.80 less than $7.05.
It is clear that the difference is due to presence of $0.25 stamps that we intently counted as $0.15.
It is also clear that the number of these $0.25 stamps is = = 18 to compensate the difference.

It gives the answer: 18 stamps in 25 cents and 35-18 = 17 stamps in 15 cents.

There is another method to solve this problem using equations or systems of equations.
The way that I used here allows you to solve the problem using the mental math only.

For more problems similar to this one see the lesson What type of problems are these? in this site.

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