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Tom ate 1/4 of a pizza. He divided the leftover pizza into pieces each equal to 1/12 of the original pizza. After he gave some friends one piece each, 1/6 of the original pizza remained. How many friends got pizza?

6th grade math

Plz explain clearly how you found the answer

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Verified Answer :

If Tom ate 1/4 of the pizza, that means there is 3/4 left. From there, he divided those into 1/12 of the original pizza, which would means there's 9/12 left. 1/6 of the pizza is equal to 2/12 and 9/12 minus 2/12 is 7/12. This means that 7 of his friends got pizza, if each of them ate one.

Answer:

7 friends got pizza

Step-by-step explanation:

Tom ate \(\frac{1}{4}\) of a pizza.

So, Reaming part = \(1-\frac{1}{4}=\frac{3}{4}\)

He divided the leftover pizza into pieces each equal to 1/12 of the original pizza.

Let x be the no. of grinds he gave 1/12 part pieces

So, Part of pizza given to x friends = \(\frac{1}{12}x\)

So, Remaining pizza = \(\frac{3}{4} -\frac{1}{12}x\)

We are given that 1/6 of the original pizza remained.

So, \(\frac{3}{4} -\frac{1}{12}x =\frac{1}{6}\)

\(x=7\)

Hence 7 friends got pizza

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