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Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.25 oz of yeast, how many ounces of flour do you need? If you're making 60 servings of bread and using 90 oz of flour, how many ounces of yeast do you need?

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Answer:

If 0.25 oz of yeast is used, then 50oz of flour is needed.

It would require 0.5 oz of yeast for 90 oz the flour.

Step-by-step explanation:

We know that the proportion of yeast (y) and flour (f) is 1: 200 when a maximum of 30 servings of bread is made. This is:

[tex]\frac{y}{f} = \frac{1}{200}[/tex]

So if we use 0.25 oz of yeast:

[tex]y = 0.25\\\\y = (f)\frac{1}{200}\\\\0.25 = (f)\frac{1}{200}\\\\0.25 * 200 = f\\\\f = 50\ oz[/tex]

if 0.25 oz of yeast is used, then 50oz of flour is needed.

If you make 60 servings of bread with 90 oz. Of flour, then you should keep the following ratio:

[tex]\frac{y}{f} =\frac{1}{180}[/tex]

So, if we use f = 90 0z of flour:

[tex]f = 90\ oz\\\\f = 180y\\\\90 = 180y\\\\y = \frac{90}{180}\\\\y = 0.5\ oz[/tex]

It would require 0.5 oz of yeast.

The required flour and yeast are 50 and 0.25.

Ratio and proportion

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

you're making a loaf of more than 30 servings, use a ratio of 1:180.

To find

The ounces of yeast do you need?

How many ounces of yeast do you need?

If you're making 30 servings of bread and using 0.25 oz of yeast, then

[tex]\rm \dfrac{0.25}{Flour} = \dfrac{1}{200}\\\\Flour\ = 50[/tex]

If you're making 60 servings of bread and using 90 oz of flour, then

[tex]\rm \dfrac{Yeast}{90} = \dfrac{1}{180}\\\\Yeast\ = 0.5[/tex]

Thus the required flour and yeast are 50 and 0.25.

More about the ratio and proportion link is given below.

https://brainly.com/question/165414