Answer:
small boxes = 5 and large boxes = 10
Step-by-step explanation:
Given:
The volume of each small box is 7 cubic feet.
volume of each large box is 13 cubic fee.
There were twice as many large boxes shipped as small boxes shipped.
Total volume of all boxes was 165 cubic feet.
Question asked:
The number of small boxes shipped and the number of large boxes shipped?
Solution:
Let number of small boxes shipped = x
Then, the number of large boxes shipped = 2x (given)
Total volume of all boxes = 165 cubic feet.
no. of small boxes [tex]\times[/tex] vol. of each small box + no. of large boxes [tex]\times[/tex] vol. of each large box = 165 cubic feet. (Total volume of all boxes)
[tex]x \times7 + 2x \times 13 = 165\\7x + 26x = 165\\33x = 165[/tex]
Dividing both side by 33
[tex]x = \frac{165}{33}\\ x = 5[/tex]
The number of small boxes shipped = [tex]x[/tex] = 5
The number of large boxes shipped = 2 [tex]x[/tex] = 2[tex]\times[/tex] 5 = 10
