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

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

RELATED QUESTIONS
I need help on how to Factor the Polynomial. I asked a similar question earlier, but the... (answered by richwmiller,jsmallt9)

please help. question: solve:5(x-4)^(2/3)=80 i cant really remember how to solve i... (answered by lwsshak3)

Hello. I wasn't sure which category to put this question in, because this is about... (answered by belle3833)

I hope I chose the right category. This is under the "adding and subtracting fractions"... (answered by Fombitz)

Please help me answer this question so in future i understand questions like this: here... (answered by scott8148)

Hi tutors I submitted a few questions earlier and was wondering if it was possible to... (answered by duggie)

I submitted this question wrong initially, can someone help me with this: I need to find (answered by jim_thompson5910)

I submitted this question earlier but there was a typo I apologize to whoever read it.... (answered by jim_thompson5910)

Im not sure what category this goes under. but i would like to know how to answer these... (answered by stanbon)