# math

posted by tiff

A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one less than triple the number of 3 cent stamps. The number of 15 cent stamps is six less than the number of 8 cent stamps. The total value of all the stamps is \$2.47. Find the number of 8 cent stamps in the collection.

1. Reiny

let s3 s8, and s15 represent the 3 cent, 8cent and 15 cent stamps

now translate the English into math
<The number of 8 cent stamps is one less than triple the number of 3 cent stamps> ----> s8 = 3s3 - 1

<The number of 15 cent stamps is six less than the number of 8 cent stamps> ----> s15 = s8 - 6 = 3s3-7

Now form an equation using the value of the stamps

3(3s) + 8(3s3 - 1) + 15(3s3 - 7) = 247 and solve

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