Respuesta :
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 [tex]\frac{1}{4}[/tex] of a pizza.
So, Reaming part = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
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 = [tex]\frac{1}{12}x[/tex]
So, Remaining pizza = [tex]\frac{3}{4} -\frac{1}{12}x[/tex]
We are given that 1/6 of the original pizza remained.
So, [tex]\frac{3}{4} -\frac{1}{12}x =\frac{1}{6}[/tex]
[tex]x=7[/tex]
Hence 7 friends got pizza
