A picture framer has a thin board that is [tex]10 \frac{1}{2}[/tex] feet long. The framer notices that [tex]2 \frac{3}{8}[/tex] feet of the board is scratched and cannot be used. The rest of the board will be used to make small picture frames. Each picture frame needs [tex]1 \frac{2}{3}[/tex] feet of the board. At most, how many complete picture frames can be made?
Answer (3)
101/2 is 50 1/2 23/8 is 2 7/8 50 1/2 - 2 7/8 = 47 5/8 47 5/8 / 1 2/3 = 27.69, to the nearest hundredth Since he can't make fractions of picture frame, the answer is 27
The farmer notices that 23/8 feet of the board with length 101/2 feet is scratched and cannot be used. Then left
2 101 − 8 23 = 8 404 − 23 = 8 381 feet.
Each picture frame needs 1 2/3 feet of the board. Then the farmer can make 28 complete picture frames, because
8 381 : 3 5 = 8 381 ⋅ 5 3 = 40 1143 = 28.575.
Answer: 28 complete picture frames
The framer has a board that is 10 1/2 feet long, and 2 3/8 feet of it is scratched, leaving 65/8 feet usable. Each frame requires 5/3 feet, allowing the framer to make a maximum of 4 complete frames.
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