SOLUTION: A stamp collection of 109 stamps has a total value of $23.47. The collections consists of 5cent stamps, 11cent stamps, and 25cent stamps. The number of 25cent stamps is five time t

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Question 184882: A stamp collection of 109 stamps has a total value of $23.47. The collections consists of 5cent stamps, 11cent stamps, and 25cent stamps. The number of 25cent stamps is five time the numberof 11cent stamps. Find the number of 5cent stamps in the collection.
Answer by josmiceli(19441) (Show Source):
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Let = number of 5 cent stamps
Let = number of eleven cent stamps
Let = number of twenty-five cent stamps
given:
(1)
(2) (in cents)
(3)
I have 3 unknowns and 3 equations, so it's solvable
Multiply both sides of (1) by and subtract
from (2)
(2)
(1)
(4)
Substitute (3) in (4)
(4)
(4)
(4)
And, from (3)
(3)
(3)
(3)
and
(1)
(1)
(1)
(1)
There are 7 five cent stamps
check:
(2)
(2)
(2)
(2)
OK