You work for a masonry company, and you are laying a concrete patio. Your concrete mixer has a capacity of 216 cubic feet. You need 3 cubic yards, 2 cubic feet, of concrete for one section of the patio, and 5 cubic yards, 1 cubic foot, of concrete for another section of the patio. Will you be able to fit all of the concrete into the mixer at once?
Answer
A
Yes, because there are 83 cubic feet of concrete.
B
Yes, because there are 121 cubic feet of concrete.
C
Yes, because there are exactly 216 cubic feet of concrete.
D
No, because there are 219 cubic feet of concrete.
E
No, because there are 297 cubic feet of concrete.
Explanation
One cubic yard equals 27 cubic feet. The first section needs 3 × 27 + 2 = 83 cubic feet, and the second needs 5 × 27 + 1 = 136 cubic feet. Together, that is 83 + 136 = 219 cubic feet, which exceeds the mixer’s 216-cubic-foot capacity, so the concrete will not all fit at once.
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