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?

Tom ate 1/4 of a pizza. he divided the leftover pizza into pices each equal to 1/12 of the original pizza. after he gave some friends 1 piece each, 1/6th

of the original pizza remained

To make this easy let covert everything using a LCD.

The LCD of 1/4 1/12 and 1/6 is 12. This becomes ...

Tom ate 3/12 of the pizza.

Leftover pizza = 9/12.

Slices were 1/12.

X friends got pizza.

Remaining pizza is 2/12.

if each friend got 1 piece (1/12) ...

9/12 (Leftovers) - 2/12 (remaining) = 7/12

So 7 friends got pizza.