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Suzy is using a bucket to collect nuts from a nut tree. She then dumps the bucket into a barrel for shipping of the nuts. She notices that 1 over 2 the bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the number of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

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Answer:

3/4 bucket

Step-by-step explanation:

Given that:

1/2 bucket of nut fills 2/3 of barrel ;

Letbthe number of bucket if nut which fills entire barrel = x

Fraction of entire barrel = 1 /1 = 1

1/2 bucket = 2/3 barrel

x buckets = 1 barrel

Cross multiply ;

(2/3)x = 1/2

2x / 3 = 1/2

2x * 2 = 3 * 1

4x = 3

x = 3/4

Hence, 3/4 bucket of nut will fill entire barrel

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