SOLUTION: a student bought 23 cent, 41 cent, and 80 cent stamps with a total value of $31.50. if the number 23 cent stamps is 2 more that the number of 41 cents stamps, and number of 80 cent

Question 630165: a student bought 23 cent, 41 cent, and 80 cent stamps with a total value of $31.50. if the number 23 cent stamps is 2 more that the number of 41 cents stamps, and number of 80 cent stamps is 5 more than one half the number of 41 cents stamps, how many stamps of each denomination did the student obtain?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of 23 cent stamps
Let = the number of 41 cent stamps
Let = the number of 80 cent stamps
given:
(1) ( in cents )
(2)
(3)
-----------------
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
and
(3)
(3)
(3)
(3)
There were 28 of the 23 cent stamps
There were 26 of the 41 cent stamps
There were 18 of the 80 cent stamps
check:
(1)
(1)
(1)
(1)
OK
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