Question

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

Thank You!!

Answer 1

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 2

7 friends got pizza

Explanation:

Tom ate
`(1)/(4)` of a pizza.

So, Reaming part =
`1-(1)/(4)=(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 =
`(1)/(12)x`

So, Remaining pizza =
`(3)/(4) -(1)/(12)x`

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

So,
`(3)/(4) -(1)/(12)x =(1)/(6)`

`x=7`

Hence 7 friends got pizza