Answer:
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.