A carpinter installing shelves in two offices. Each office will have 4 shelves. The wood the carpinter wants to use comes in 6foot long boards. Each shelf is 2 1/4 feet long. How many boards he does need?

The carpenter will need 3 6-foot long boards in order to make the 8 shelves.

Step-by-step explanation:

Given that a carpinter is installing shelves in two offices, each office will have 4 shelves, and the wood the carpinter wants to use comes in 6foot long boards, the measure of each shelf being 2 1/4 feet long, to determine how many boards he does need, the following calculation must be performed:

1/4 = 0.25

(2 x 4 x 2.25) / 6 = X

(8 x 2.25) / 6 = X

18/6 = X

3 = X

Thus, the carpenter will need 3 6-foot long boards in order to make the 8 shelves.

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