Answer:
x is the number of large boxes shipped
y is the number of small boxes shipped
7 large boxes were shipped
14 small boxes were shipped
Step-by-step explanation:
The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet.
There were twice as many small boxes shipped as large boxes shipped : so if x large boxes , and y small boxes were shipped, then ,y = 2x small boxes were also shipped.
the total volume of all boxes was 168 cubic feet, which means:
y = 2x ...................(1)
6y + 12x = 168 .......(2),
then, replace y to 2x in the second equation
6(2x) + 12(x) = 168,
12x + 12x = 168,
24x = 168,
x = = 7,
since the small boxes = 2x,
2(7) = 14 boxes, so there are 14 small boxes being shipped,
and x = 7, so there are 7 large boxes being shipped, since x is the number of large boxes being shipped.