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?

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Mathematics

Aliana Miles

11 August, 23:07

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?

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Zaniyah Newton · Answer 1

25*10 will be the minimum and 165/10 will be the maximum

The maximum is 16. They need at least 25 so everyone getting long sleeve shirts is not an option, the minimum has to be 25 no matter what kind of shirts you buy. If everybody got a short sleeve shirt, 25*5 will be the minimum and 165/5 would be the maximum. The minimum, of course, is 25 shirts for 125 dollars and the maximum is 33 shirts for 165 dollars.