A gymnasium can hold no more than 650 people. A permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each row

Question

Mathematics

Lena Calderon

12 September, 20:34

A gymnasium can hold no more than 650 people. A permanent bleacher in the gymnasium holds 136 people. The event organizers are setting up 25 rows with an equal number of chairs. At most, how many chairs can be in each row

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Answers (1)

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Callie Duke · Answer 1

20 chairs

Step-by-step explanation:

After 136 people are seated in the bleacher, there can be 514 people seated in chairs. We know that 514 = 25*20 + 14, so there can be 20 rows of 25 chairs. We require an equal number of chairs in each row, so there cannot be some rows with 21 chairs, nor can there be a 26th row with 14 chairs.

There can be 20 chairs in each row.