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 ?

Respuesta :

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:

[tex]1\frac{3}{8}[/tex] pounds.

Step-by-step 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.

[tex]8\frac{1}{4}\div 6[/tex]

Convert mixed fraction into improper fraction:

[tex]8\frac{1}{4}\Rightarrow \frac{8\times 4+1}{4}=\frac{32+1}{4}=\frac{33}{4}[/tex]

[tex]8\frac{1}{4}\div 6\Rightarrow\frac{33}{4}\div 6[/tex]

Convert to multiplication problem:

[tex]\frac{33}{4}\div \frac{6}{1}=\frac{33}{4}\times\frac{1}{6}[/tex]

[tex]\frac{33}{4}\div \frac{6}{1}=\frac{11}{4}\times\frac{1}{2}[/tex]

[tex]\frac{33}{4}\div \frac{6}{1}=\frac{11}{8}[/tex]

[tex]\frac{33}{4}\div \frac{6}{1}=1\frac{3}{8}[/tex]

Therefore, Frank needs [tex]1\frac{3}{8}[/tex] pounds of carrots to make one carrot cake.