Question

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

Answer 1

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.

⇒ $10\frac{1}{5} = \frac{(10\times 5)+1}{5} =\frac{51}{5}$

Portion of the cake used = $\frac{1}{4}$

To find the unit rate here we must divide :

⇒ $x=\frac{number\ of\ ounces\ used}{portion\ of\ the\ cake}$

⇒ $x=$ $\frac{51}{5}$  ÷  $\frac{1}{4}$

⇒ $x=$ $\frac{51}{5}\times \frac{4}{1}$

⇒ $x=$ $\frac{51\times 4}{5}$

⇒ $x=$ $\frac{204}{5}$

⇒ $x=$ $40\frac{4}{5}$  Or $40.8$  

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