Question

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 10 cubic feet and the volume of each large box is 17 cubic feet. There were 3 times as many small boxes shipped as large boxes shipped and the total volume of all boxes was 235 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.

Answer 1

Answer:

small boxes= 15

large boxes = 5

Step-by-step explanation:

let the number of large boxes be denoted as $x$

Then the number of small boxes is 3 time that of large boxes, i.e.

$3*x=3x$

If the total volume of all boxes is 235 cubic feet,

Then, we can form the following relationship (equation)

$17*x+10*(3x)=235\\17x+30x=235\\47x=235\\x=5$

Therefore the number of large boxes is 5

and that of small boxes is $3*5=15$