Mathematics

Question

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10 each and short-sleeved shirts are $5 each. The club can spend no more than $165. What are the minimum and maximum numbers of long-sleeved shirts that can be purchased?
A minimum of ___ long-sleeved shirts can be purchased.
A maximum of ___ long-sleeved shirts can be purchased.

2 Answer

  • 0
    8
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  • A minimum of 0 long-sleeved shirts can be purchased.

    A maximum of 8 long-sleeved 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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