Question

The total number of cookies needed for the bake sale is 812 dozen. Two of your friends will each bake 14 of the cookies. Your sister will bake 18 of the cookies. What fraction of the cookies do you need to bake?

Answer 1

Answer:
`(28)/(51)`

Explanation:

1 dozen = 12

Given, Total cookies needed =
`8\frac12\ dozen = (17)/(2)\ dozen`

`=(17)/(2)* 12\\\\=102`

2 friends bake 14 cookies each, and your sister will bake 18.

So total cookies already assigned = 2 (14)+18

= 28 + 18 = 46

Remaining cookies you need to bake = 102 - 46 =56

Required Fraction =
`\frac{\text{Number of cookies you bake}}{\text{Total}}=(56)/(102)=(28)/(51)`

Hence, fraction of the cookies you need to bake
`=(28)/(51)` .