Question

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?

Answer 1

To make 30 servings of bread with a yeast to flour ratio of 1:200 and 0.25 oz of yeast, you need 50 oz of flour. For 60 servings with a 1:180 ratio and using 90 oz of flour, you need 0.5 oz of yeast.

Step-by-step explanation:

For making 30 servings of bread with a yeast to flour ratio of 1:200, and using 0.25 oz of yeast, we calculate the required amount of flour as follows:

Ratio of yeast to flour is 1:200, so for every 1 ounce of yeast, we need 200 ounces of flour.

Since we have 0.25 ounces of yeast, we multiply 0.25 by 200 to find the required flour amount.

This means we need 0.25 oz × 200 = 50 oz of flour.

For making 60 servings of bread with a different ratio of 1:180 and using 90 oz of flour, we reverse the calculation to find the required amount of yeast:

Now the ratio of yeast to flour is 1:180, meaning for every 1 ounce of yeast, we need 180 ounces of flour.

We set up a proportion (1 oz yeast)/(180 oz flour) = (x oz yeast)/(90 oz flour), where 'x' represents the required amount of yeast.

By solving the proportion, x = (90 oz flour)/(180 oz flour per oz yeast) = 0.5 oz yeast.

Answer 2

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:

`(y)/(f) = (1)/(200)`

So if we use 0.25 oz of yeast:

`y = 0.25\\\\y = (f)(1)/(200)\\\\0.25 = (f)(1)/(200)\\\\0.25 * 200 = f\\\\f = 50\ oz`

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:

`(y)/(f) =(1)/(180)`

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

`f = 90\ oz\\\\f = 180y\\\\90 = 180y\\\\y = (90)/(180)\\\\y = 0.5\ oz`

It would require 0.5 oz of yeast.