Ruby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.​​

4

Step-by-step explanation:

Amounts needed for 1 batch of 1 dozen cookies:

3/4 cup flour

1/3 cup butter

It's easier to create a table with all amounts to find the total amount of flour and total amount of butter available.

            Ruby         Joey            Sully         Total

Flour       2               1                  1 1/4          4 1/4

Butter     1/4           1/2                  3/4           1 1/2

The table above shows the total amount of flour is 4 1/4 cups, and the total amount of butter is 1 1/2 cups.

Flour:

Amount available: 4 1/4 cups

Amount needed for 1 batch: 3/4 cup

(4 1/4 cups)/(3/4 cup) = 17/4 * 4/3 = 17/3 = 5 2/3

The amount of flour is enough for 5 2/3 batches.

This makes 5 full batches.

Butter:

Amount available: 1 1/2 cups

Amount needed for 1 batch: 1/3 cup

(1 1/2 cups)/(1/3 cup) = 3/2 * 3/1 = 9/2 = 4 1/2

The amount of flour is enough for 4 1/2 batches.

This makes 4 full batches.

The amount of flour is enough for 5 batches, but the amount of butter is enough for only 4 batches, so the greatest number of whole batches they can make is 4.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

$649.60

step-by-step explanation: