A bakery uses ounces of icing for every of a cake. What is the unit rate in ounces of icing per cake?
A.
ounces of icing per cake

B.
ounces of icing per cake

C.
ounces of icing per cake

D.
ounces of icing per cake

Respuesta :

Answer:

Here is a similar question:

A bakery uses 10 1/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake.

The unit rate in ounces of icing per cake = 40 4/5 ounces

Step-by-step explanation:

Given:

Ounces of ice used for every 1/4 cake = 10 1/5

We have to find the unit rate.

Let the unit rate be 'x' .

Unit rate is the rate when we use unit 'one' as our reference to find any value.

Lets convert the mixed fraction of ounces.

⇒ [tex]10\frac{1}{5} = \frac{(10\times 5)+1}{5} =\frac{51}{5}[/tex]

Portion of the cake used = [tex]\frac{1}{4}[/tex]

To find the unit rate here we must divide :

⇒ [tex]x=\frac{number\ of\ ounces\ used}{portion\ of\ the\ cake}[/tex]

⇒ [tex]x=[/tex] [tex]\frac{51}{5}[/tex]  ÷  [tex]\frac{1}{4}[/tex]

⇒ [tex]x=[/tex] [tex]\frac{51}{5}\times \frac{4}{1}[/tex]

⇒ [tex]x=[/tex] [tex]\frac{51\times 4}{5}[/tex]

⇒ [tex]x=[/tex] [tex]\frac{204}{5}[/tex]

⇒ [tex]x=[/tex] [tex]40\frac{4}{5}[/tex]  Or [tex]40.8[/tex]  

Hence, the unit rate in ounces of icing per cake = 40 4/5 ounces.

Answer:

Another similar question:

A bakery uses 10 3/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake?

Step-by-step explanation:

Answer is 42 2/5

10 3/5 ÷ 1/4 = 53/5 ÷ 1/4

= 53/5 x 1/4

= 212/5

= 42 2/5