Question

Each student needs a pencil and a eraser to take a test.If pencils come in 8 in a box and erasers come 12 in a bag, what is te least number of boxes and bags needed for 24 students to each have a pencil and a eraser

Answer 1

The least number of boxes and bags needed are 3 and 2 respectively.

Step-by-step explanation

Suppose, the number of boxes is
`x` and the number of bags is
`y`

Given that, pencils come in 8 in a box and erasers come 12 in a bag.

So, the total number of pencils in
`x` number of boxes
`=8x` and the total number of erasers in
`y` number of bags
`=12y`

As there are total 24 students and each student needs one pencil and one eraser to take a test, so...

`8x=24\\ \\ x= (24)/(8)=3`

and

`12y=24\\ \\ y=(24)/(12)=2`

So, the least number of boxes and bags needed are 3 and 2 respectively.