Question

Colton is making a large batch of clay for his art class. His recipe for clay requires 7 1/2 cups of flour. However, Colton only has 5 5/8 cups of the flour, so he can only make a portion of the recipe. Create an equation to model the situation and solve it to determine what portion of his recipe Colton can make. =

Answer 1

5 5/8 of 7 1/2 is 3/4 so you would make 3/4 of the recipe.

Answer 2

Answer:

7,5X = 5,6 * 1

X= 5,6/7,5 = 56/75 = 0, 74 * 100% = 74% of the batch of clay

Step-by-step explanation:

Required: 7 1/2 = (7*2) + 1 = 15/2 = 7,5 cups

Colton has : 5 5/8 = (5*8) + 5 = 45/8 = 5,6 cups

The recipe that Colton wants to prepare requires 7,5 cups of flour; however, he has only 5,6 cups.

Since it is a direct proportion, it can be used the rule of 3:

1 batch of clay----> 7,5 cups of flour

x batch of clay ---> 5,6 cups of flour

To generate the equation we have to multiply diagonally

7,5 X = 5,6 * 1

x= 1 * 5,6 / 7,5 = 5,6/ 7,5 = 0,74 * 100% = 74%

In brief, Colton can make about 74%  of his recipe.