SOLUTION: A stamp collection consist 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 th

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Question 166428: A stamp collection consist 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 Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
3 cent stamps =t
8 cent stamps =e
15 cent stamps =f
e=3t-1
f=e-8 f=(3t-1-8)=3t-9
t+e+f=2.47
substitute:e's value and f's value first 2 equations t%2B%283t-1%29%2B%283t-9%29=247
7t-10=247 7t=257 t=36.7
which isnt right since you need an integer
my guess is that should be 259 meaning t+e+f should have been equal to $2.49
so based on a final figure of 7t=2.59 t=37
if t=37 then e=3(37)-1=110 and f=110-8=102
3cent stamps =37
8cent stamps =110
15cent stamps =102
this again is based on the amount total of the stamps equaling $2.49