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 9 cubic feet and the volume of each large box is 19 cubic feet. A total of 22 boxes of paper were shipped with a combined volume of 278 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.

Answer 1

small boxes= 14 and large boxes =8

Explanation:

let the small boxes be x and large boxes be y.

then x+y=22----------eq1

9x+19y=278-----------eq2

multiplying eq1 by 9 wee get

9x+9y= 198----------eq3

subtracting eq3 from eq2 we get 10y= 80

y=80/10=8-----------eq4

Putting the value of y from eq4 in eq1 we get

x+8=22⇒x=22-8=14