Question

mary made a small pan of ziti and a small pan of lasagna. she cut the ziti into 8 equal parts and the lasagna into 9 equal parts. her family ate 2/3 of the lasagna. if her family ate more lasagna than ziti what fraction of the ziti could have been eaten?

Answer 1

Well, 2/3 times 9 is 6 parts of lasagna, so that means that the family must have eaten less than 6 piece of ziti; and 1/4 times 8 equals 2 parts of ziti...so 1/4 can be your answer!

Answer 2

Hence, the possible fractions would be:

`(1)/(8),(2)/(8),(3)/(8),(4)/(8),(5)/(8)`

Explanation:

" Mary made a small pan of ziti and a small pan of lasagna. she cut the ziti into 8 equal parts and the lasagna into 9 equal parts" .

Now her family ate 2/3 of the lasagna.

That means her family ate 6 lasanga. ( Since 2/3 of 9 parts is 6{ as (2\3)×9=6} ).

Now it is given that her family ate more lasagna than ziti.

i.e. her family would have eaten less than 6 ziti's.

I.e. they would have eaten either 1,2,3,4 or 5 ziti's.

Hence, the possible fractions would be:

`(1)/(8),(2)/(8),(3)/(8),(4)/(8),(5)/(8)`