Question 150545
A stamp collection consists of 3,8, and 15 cent stamps. 
x=# 3 cent stamps
y=# 8 cent stamps
z=# 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. 
y=3x-1
z=3x-1-6


The total value of all the stamps is $2.47. 
3x+8y+15z=247


PLug in values for y and z
3x+8(3x-1)+15(3x-7)=247


Distribute
3x+24x-8+45x-105


Combine like terms
72x-113=247


Add 113 to both sides
72x=360


Divide both sides by 72
x=5


5 3cent stamps
y=3x-1


y=3(5)-1
y=14
14 8 cent stamps


z=3x-7
z=3(5)-7
z=8
8 15 cent stamps


Answer:
# 3 cent stamps= 5
# 8 cent stamps= 14
# 15 cent stamps= 8