SOLUTION: Okay here is the problem I need help with. It's not in a textbook but it is online. A stamp collection consits of 3, 8, and 15 cent stamps. The number of 8 cent stamps is one

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Question 189097: Okay here is the problem I need help with. It's not in a textbook but it is online.
A stamp collection consits 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.
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=no of 3 cent stamps
3x-1=no of 8 cent stamps
(3x-1)-6=no of 15 cent stamps or 3x-7
3x+(3x-1)*8+(3x-7)*15=247
Simplifying we get:
3x+24x-8+45x-105=247
72x-113=247
Adding 113 on both sides, we get:
72x=360
Dividing both sides by 72 we get
x=5
So there are:
5 3-cent stamps
14 8-cent stamps
8 15-cent stamps