SOLUTION: A stamp collection consists of 5 cent, 8 cent, and 13 cent stamps. The number of 13 cent stamps is one more than twice the number of 5 cent stamps. The number of 13 cent stamps is

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Question 1074548: A stamp collection consists of 5 cent, 8 cent, and 13 cent stamps. The number of 13 cent stamps is one more than twice the number of 5 cent stamps. The number of 13 cent stamps is six more than the number of 8 cent stamps. The total value of all the stamps is $5.37. Find the number of 5 cent stamps.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number of 5-cent stamps. Then the number of 13-cent stamps is 2n+1; and the number of 8-cent stamps is 2n+1-6, or 2n-5. So:
5n+8(2n-5)+13(2n+1)=537
47n-27=537
47n=564
n=12
There are 12 5-cent stamps in the collection. ☺☺☺☺