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 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

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

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

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

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

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

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

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