Question

Your math class is collecting canned food for a local food drive. The goal is to collect at least 105 cans but no more than 205 cans due to space limitations. There are 20 students in your math class and your teacher has promised to bring in 5 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.

Answer 1

For this case, the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring.

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

$105\leq 20n+5\leq 205$

Answer:

the possible numbers n of cans that each student should bring in is:

$105\leq 20n+5\leq 205$