Question

A restaurant uses 8 1/4 pounds of carrots to make 6 carrots cakes . Frank wants to use the same recipe. How many pounds of carrots does Frank need to make one carrot cake ?

Answer 1

1 1/2 pounds

16 ounces = 1 pound

8 1/4 pounds = 132 ounces
132 ounces/ 6 cakes = 22
22 ounces = 1 1/2 pounds

Answer 2

`1(3)/(8)` pounds.

Explanation:

We have been given that a restaurant uses 8 1/4 pounds of carrots to make 6 carrots cakes.

To find the amount of carrots used to make one cake, we will divide 8 1/4 by 6.

`8(1)/(4)/ 6`

Convert mixed fraction into improper fraction:

`8(1)/(4)\Rightarrow (8* 4+1)/(4)=(32+1)/(4)=(33)/(4)`

`8(1)/(4)/ 6\Rightarrow(33)/(4)/ 6`

Convert to multiplication problem:

`(33)/(4)/ (6)/(1)=(33)/(4)*(1)/(6)`

`(33)/(4)/ (6)/(1)=(11)/(4)*(1)/(2)`

`(33)/(4)/ (6)/(1)=(11)/(8)`

`(33)/(4)/ (6)/(1)=1(3)/(8)`

Therefore, Frank needs
`1(3)/(8)` pounds of carrots to make one carrot cake.