SOLUTION: 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
Algebra.Com
Question 174473: 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.
I can not figure out the formula to work this problem. Can you please explain.
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
e = 3t-1
---------------
The number of 15 cent stamps is six less than the number of 8 cent stamps.
f = e - 6
---------------
The total value of all the stamps is $2.47
3t+8e+15f = 247
---------------
Find the number of 8 cent stamps.
EQUATIONS:
t = (e+1)/3
f = e - 6
8e = 247-3t-15f
------------------
Substitute for t and for f to solve for e:
8e = 247 -3(e+1)/3 - 15(e-6)
8e = 247 -e - 1 -15e + 90
8e = 336 - 16e
24e = 336
e = 14 (number of eight cent stamps)
======================================
Cheers,
Stan H.
RELATED QUESTIONS
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is... (answered by solver91311)
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 cent stamps is... (answered by ankor@dixie-net.com)
A stamp collection consists of 3, 8, and 15 cent stamps. The number of 8 stamps is one... (answered by ankor@dixie-net.com)
A stamp collection consists of 3,8, and 15 stamps. The number of 8 cent stamps is one... (answered by mangopeeler07)
a stamp collection consists of 3, 8, 15, cent stamps. the number of 8 stamps is one less (answered by ankor@dixie-net.com)
A stamp collection consist of 3, 8 and 15 cent stamps. The number of 8 cent stamps is one (answered by oscargut,kdr,Electrified_Levi)
A stamp collection consist of 3,8, and 15 cent stamps. The number of 8 cent stamps is... (answered by Mathtut)
Can you help me set up the algebra equation for this word problem?
A stamp collection... (answered by scott8148)
A stamp collection consists of 3,8 and 15 cent stamps. The number of 8 cent stamps is one (answered by scott8148,richwmiller)