Question
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Three teachers share 2 packs of paper equally. How much paper does each teacher get? Select all that apply. A 2 halves of a pack B 3 fourths of a pack C 3 sixths of a pack D 1 third of a pack E 2 thirds of a pack
Answer
The correct answers are:
E. 2 thirds of a pack
Step-by-Step Solution
Calculate the amount of paper each teacher receives.
Three teachers share 2 packs of paper equally. Each teacher receives 2 packs / 3 teachers = 2/3 of a pack.
- Option A: 2 halves of a pack
2 halves of a pack = 2 * (1/2) = 1 pack. This is not equal to 2/3 of a pack.
- Option B: 3 fourths of a pack
3 fourths of a pack = 3 * (1/4) = 3/4 of a pack. This is not equal to 2/3 of a pack.
- Option C: 3 sixths of a pack
3 sixths of a pack = 3 * (1/6) = 3/6 = 1/2 of a pack. This is not equal to 2/3 of a pack.
- Option D: 1 third of a pack
1 third of a pack = 1/3 of a pack. This is not equal to 2/3 of a pack.
- Option E: 2 thirds of a pack
2 thirds of a pack = 2 * (1/3) = 2/3 of a pack. This is equal to the amount each teacher receives. So Option E is correct.
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