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 7 cubic feet and the volume of each large box is 13 cubic feet. There were twice as many large boxes shipped as small boxes shipped and the total volume of all boxes was 165 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
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Given :
Volume of small box is 7 cubic feet
Volume of large box is 13 cubic feet
Volume of all box is 165 cubic feet
There are twice large boxes as many as small boxes
To find : Number of boxes of each type
Solution :
Let Number of small boxes be x
then , Number of large boxes will be 2x
Total Volume covered by small box will be 7x
Total Volume covered by large box will be 26x
Total volumes contains volume covered by small boxes and volume covered by large boxes
Total volume shipped = 165
7x + 26x = 165
33x = 165
x = 5
So, No. of small boxes are 5
& No. of large boxes are 10
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