extended-response items

 

A group of students goes to the museum.

More than 30 and less than 50 students go.

each students has a bus partner.

all students will be in group of exactly 6 at the museum.

How many students could be going to the museum?

Sjhow all the work

in order of operations by

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1 Answer

If the students are in groups of exactly six when they visit the museum, the number visiting the museum must be 36, 42 or 48, because these are the only multiples of 6 between 30 and 50. If the bus partners are included in the groups and they are also students, then each group would consist of three students with their bus partners. If the bus partners are also students, but they do not go to the museum, but remain behind while their student partners visit the museum, then in all, 72, 84 or 96 students go to the museum, but only 36, 42 or 48 students actual visit it. If the bus partners are not students, they would be discounted from the groups, and the numbers just refer to the students. 

by Top Rated User (1.1m points)

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