Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Longsleeved shirts are $10 each and shortsleeved shirts a
Mathematics
GutsnGlory
Question
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Longsleeved shirts are $10 each and shortsleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of longsleeved shirts that can be purchased?
A minimum of ___ longsleeved shirts can be purchased.
A maximum of ___ longsleeved shirts can be purchased.
A minimum of ___ longsleeved shirts can be purchased.
A maximum of ___ longsleeved shirts can be purchased.
2 Answer

1. User Answers dprestarri
0
8
 
2. User Answers barackodam
A minimum of 0 longsleeved shirts can be purchased.
A maximum of 8 longsleeved shirts can be purchased.
This question will be solved by forming an equation and then solving it simultaneously.
Let a long sleeve be represented as "a" and short sleeve be represented as "b". If so, then we have 2 equations, vis a vis;
a + b = 25
10a + 5b = 165
Solving them simultaneously, we have
5a + 5b = 125
10a + 5b = 165
If we subtract both equations, we have
5a = 40
a = [tex]\frac{40}{5}[/tex]
a = 8
This means that a maximum of 8 long sleeved shirts can be purchased
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