Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel. Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

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

Your

you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

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