SOLUTION: a boy was sent to the pst office with $16.25 to buy 2, 3, and 5 cent stamps. he bough 50 mre 3 cent stamps than 2 cent stamps and 25 less 5cent stampsthan 2 cent stamps. how many f

Question 280059: a boy was sent to the pst office with $16.25 to buy 2, 3, and 5 cent stamps. he bough 50 mre 3 cent stamps than 2 cent stamps and 25 less 5cent stampsthan 2 cent stamps. how many f each kind did he buy?
if someone can please help me understnd how to do this question it will be greatly appraicated.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up
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Let A = 2 Cent stamps
Let B = 3 Cent stamps
Let C = 5 Cent stamps
Notice that each statement is in terms of the 2 cent stamps.
Equation 1:
Equation 2:
Equation 3:
Solution
------------
Use substitution.
Substitute equation 1 and 2 into equation 3
Equation 3:
Simplify
Combine like terms
subtract 0.25 from both sides
Divide both sides by 0.1

------------
Now plug 160 into equations 1 & 2 for A
Equation 1:

Equation 2:

Check the answers:
----------------------
You can check your answers by plugging in the values into equation 3
Equation 3:

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