Question

During the camping trip,

9 Scouts can sleep in a
cabin. All boys or all girls
must sleep in each cabin.
If there are 70 boys and 76
girls, how many cabins will
be needed to house all of
the Scouts?

Answer 1

By dividing the number of boys and girls by the cabin capacity and rounding up, we find that 8 cabins are needed for the boys and 9 for the girls, totaling 17 cabins.

Step-by-step explanation:

To determine how many cabins are needed for the scouts, we first need to calculate the number of cabins required separately for boys and for girls, since the requirement is that all occupants of each cabin should be either all boys or all girls. We have 70 boys and 76 girls, and each cabin can house 9 scouts.

1. Calculate the number of cabins needed for the boys: Divide the number of boys (70) by the number of scouts that can sleep in a cabin (9) and round up to the nearest whole number because you cannot have a fraction of a cabin.
   70 boys ÷ 9 boys/cabin = 7.78, which rounds up to 8 cabins for boys.
2. Calculate the number of cabins needed for the girls: Divide the number of girls (76) by the number of scouts that can sleep in a cabin (9) and round up to the nearest whole number.
   76 girls ÷ 9 girls/cabin = 8.44, which rounds up to 9 cabins for girls.

Add the number of cabins needed for boys and girls to find the total number of cabins required.
8 cabins for boys + 9 cabins for girls = 17 cabins in total.