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East high schools student council plans to buy some stools and chairs for a new student center they need to buy 25 more chairs and stools the chairs cost $32 each and the stools cost $28 each if the budget is $2620 how many chairs can they buy

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Answer:

let

s = the number of stools bought, s is integer

c = the number of chairs bought, c is integer

they need to buy 25 more chairs than stools

c = s + 25 => s = c - 25

the chairs cost $32 each and the stools cast $28 each and the budget is $2,620

32c + 28s <= 2620

if i plug s = c - 25 in the above inequality i get

32c + 28(c - 25) <= 2620

by solving the inequality we find

c <= 55.33

since c is integer we can write c<=55

they can buy 55 chairs the most.

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