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 8 cubic feet and the volume of each large box is 21 cubic feet. a total of 20 boxes of paper were shipped with a combined volume of 264 cubic feet. determine the number of small boxes shipped and the number of large boxes shipped. answer attempt 1 out of 2 there were small boxes shipped and large boxes shipped.

Explanation:

Step1: Define variables

Let $x$ = number of small boxes, $y$ = number of large boxes.

Step2: Set up total boxes equation

$x + y = 20$

Step3: Set up total volume equation

$8x + 21y = 264$

Step4: Isolate $x$ from Step2

$x = 20 - y$

Step5: Substitute into volume equation

$8(20 - y) + 21y = 264$
$160 - 8y + 21y = 264$
$13y = 104$

Step6: Solve for $y$

$y = \frac{104}{13} = 8$

Step7: Solve for $x$

$x = 20 - 8 = 12$

Answer:

There were 12 small boxes shipped and 8 large boxes shipped.