Question

16) 472 students are going on a field trip. 120students will be returning home and therest will be spending the night in cabins. Ifa cabin sleeps 8 people, how many cabinsneed to be rented?A) 59 cabins B) 74 cabinsC) 44 cabins D) 4 cabins

Answer 1

C) 44 cabins

Step-by-step explanation

Step 1

find the number of students that will be spending the night in cabins.

Let

total=472

students will be returning=120

students will be spending the nigth in cabins=x

then

`\begin{gathered} x+120=472 \\ \text{subtract 120 in both sides} \\ x+120-120=472-120 \\ x=352 \end{gathered}`

it means 352 students will be spending the night in cabins

Step 2

find the number of cabins

`\begin{gathered} 1\text{ cabin }\Rightarrow\text{8 people} \\ y\text{ cabin}\Rightarrow352 \\ (1)/(8)=(y)/(352) \\ y=(352)/(8) \\ y=44 \end{gathered}`

so, the answer is 44 cabins