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Eddie stacks boxes in his garage. Each box is 1 3/4 feet tall. The distance from the garage's floor to its...

5. Eddie stacks boxes in his garage. Each box is 1 3/4 feet tall. The distance from the garage's floor to its ceiling is 8 1/2 feet.
6. a. What is the greatest number of boxes Eddie can stack in his garage?
7. Explain how you decided how to round your answer in part (a).

Answer

  1. To find the greatest number of boxes Eddie can stack, divide the height of the garage by the height of each box:
    8 1/2 ÷ 1 3/4 = 17/2 ÷ 7/4 = 17/2 × 4/7 = 68/14 = 34/7 ≈ 4.857.
    Eddie can stack 4 boxes because he cannot stack a fraction of a box.

  2. The answer was rounded down to 4 because Eddie cannot stack a partial box. Only whole boxes can be stacked, so we take the integer part of the division result.

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