Question

On an overnight camping trip, the Adventure Scouts could choose to sleep in a cabin, in a tent, or outside under the stars. A total of 115 scouts went on the trip. Twice as many scouts slept in a cabin as slept in a tent. The same number of scouts slept outside as slept in a cabin.

How many Adventure Scouts slept outside?

Answer 1

46

Explanation:

You need to find how many Adventure Scouts slept outside. Start with the information in the problem.

A total of 115 scouts went camping.

Twice as many slept in a cabin as slept in a tent.

The same number slept outside as slept in a cabin.

You can use a diagram to model the problem. Fewer scouts slept in a tent than the other choices. So, start with the scouts who slept in a tent.

Twice as many scouts slept in a cabin as slept in a tent. So, draw 1 box to represent the number who slept in a tent and 2 boxes to represent the number who slept in a cabin.

tent

cabin

outside

The same number of scouts slept outside as slept in a cabin. There are 2 boxes for scouts who slept in a cabin. So, draw 2 boxes to represent the number who slept outside.

tent

cabin

outside

There are 5 boxes in the diagram in all. There were 115 scouts on the trip altogether. So, each box represents 115÷5 scouts. Divide.

2 3

5

1 1 5

– 1 0

1 5

– 1 5

0

Each box represents 23 scouts. There are 2 boxes for the scouts who slept outside. Multiply to find the number of scouts who slept outside.

2 3

× 2

4 6

46 Adventure Scouts slept outside.