SOLUTION: Cheryl buys a total of 100 stamps at the post office for $20.56. if che bought 5 cent stamps, 15 cent stamps and 37 cent stamps only, and there were 10 more 37 cent stamps than 5 c

Question 885404: Cheryl buys a total of 100 stamps at the post office for $20.56. if che bought 5 cent stamps, 15 cent stamps and 37 cent stamps only, and there were 10 more 37 cent stamps than 5 cent stamps. How many of each did she buy?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of 5 cent stamps
Let = number of 15 cent stamps
Let = number of 37 cent stamps
-------------------------------------
(1)
(2) ( in cents )
(3)
-------------------
Substitute (3) into (1)
(1)
(1)
(1)
----------------------
Substitute (1) into (2)
(2)
---------------------------------------
Substitute (3) into (2)
(2)
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
and
(3)
(3)
She bought 28 of the 5 cent stamps
She bought 34 of the 15 cent stamps
She bought 38 of the 37 cent stamps
--------------------------------
check:
(2)
(2)
(2)
(2)
OK
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