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Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.


How many cups of flour are needed for 1 fruit cake?


A, 7/8

B, 1/2

C, 1 1/8

D, 1 1/2

Verified Answer :

Answer:

Option C is correct

\(1\frac{1}{8}\)

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 feet per seconds.

As per the statement:

Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.

By unit rate definition we have;

\(\text{Unit rate per fruit cake}=\frac{\text{Number of cups of flour used}}{\text{Number of fruit cakes}}\)

Substitute the given values we have;

\(\text{Unit rate per fruit cake}=\frac{\frac{9}{2}}{4}\)

⇒\(\text{Unit rate per fruit cake}=\frac{9}{8}=1\frac{1}{8}\) cups of flour

Therefore, \(1\frac{1}{8}\)  cups of flour are needed for 1 fruit cake.

There are \(1\dfrac{1}{8}\)  cups of flour are needed for 1 fruit cake.

Given

Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.

What is the unit rate?

Unit rate is said to be the amount of something in each unit or per unit.

Chef Johnson used 4 1/2 cups of flour to make 4 fruit cakes.

The number of cups of flour is needed for 1 fruit cake is;

\(\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} = \dfrac{Number \ of\ cups \ used \ flour}{Number \ of \ fruit \ cake}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{4\dfrac{1}{2}}{4}}\\\\ {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{4\times 2+1}{2}}{4}}\\\\\)

\(\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{8+1}{2}}{4}\\\\\rm {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{\dfrac{9}{2}}{4}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} = \dfrac{9}{2} \times \dfrac{1}{4}\\\\{Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =\dfrac{9}{8}\\\\ {Cups\ of \ flour\ needed \ for \ 1 \ fruit \ cake} =1\dfrac{1}{8}\)

Hence, there are \(1\dfrac{1}{8}\)  cups of flour are needed for 1 fruit cake.

To know more about Unit Rate click the link given below.

https://brainly.com/question/11258929

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