SOLUTION: I submitted this question earlier under the wrong category. Please help. I would like to understand how to solve this for furthur reference to other problems i might get. Thank you
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Question 161983: I submitted this question earlier under the wrong category. Please help. I would like to understand how to solve this for furthur reference to other problems i might get. Thank you.
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. [Fifteen points for the correct algebra equation and five points for solving the equation. Answer by KnightOwlTutor(293) (Show Source):
You can put this solution on YOUR website! x=# of 3cent stamps
3x-1=# of 8 cent stamps
(3x-1)-6=# of 15cent stamps
Total value is $2.47
.03x+.08(3x-1)+.15(3x-7)=2.47
Use the distributive property
.03x+.24x-.08+.45x-1.05=2.47
Combine like terms and simplify
(.03+.24+.45)x+(-.08-1.05)=2.47
(0.72)x-1.13=2.47
add 1.13 to both sides
.72x=3.6
divide both sides by .72
x=5
# of 3 cent stamps is 5
# of 8 cent stamps =3(5)-1=14
# of 15 cent stamps is 14-6=8
Let's double check our answer
.03(5)+.08(14)+.15(8)=.15+1.12+1.2=2.47
