Question

Jackson is making brownies. He uses the following ingredients.

Ingredients Amount for 1

Batch of Brownies

Flour 3 cups

Sugar 2 cups

Butter 1/3 cup

Cocoa Powder 1/4 cup


Jackson has 1 cup of butter. If he wants to use all the butter, how many batches of brownies can he make?


Part A

Which equation can you use to solve the problem?


A. 1 ÷ 3 = 3

B. 1 ÷ 1/3 = 3

C. 1 × 1/3 = 1/3

D. 1 + 1/3 = 1/3

Part B

Jackson used all the butter to make the brownies.

If each brownie is 1/9 of a batch, how many brownies did he make?

Enter your answer in the box.


brownies

Answer 1

Part A = B. 1 ÷ 1/3 = 3

Part B = 27 brownies

Explanation:

Part A

From the ingredients given in above question:

1/3 cup of butter = 1 batch of brownies

Hence: 1 cup of butter = x

Cross Multiply

1/3 cup of butter × x = 1 cup of butter × 1 batch of brownies

x = 1 cup of butter × 1 batch of brownies/1/3 cup of butter

x = 1 batch of brownies ÷ 1/3

x = 1 batch of brownies × 3/1

x = 3 batches of brownies

Hence, the number brownies Jackson can make with 1 cup of butter Is 3 batches of brownies

Therefore, the equation you can use to solve the problem is Option B. 1 ÷ 1/3 = 3

Part B

If each brownie is 1/9 of a batch, how many brownies did he make?

We know from Part A that Jackson made 3 batches of brownies hence:

1/9 of a batch of brownies = 1 brownie

3 batches of brownies = x

Cross Multiply

1/9 of a batch of brownies × x = 1 brownie × 3 batches of brownies

x = 1 brownie × 3 batches of brownies/ 1/9 of a batch of brownies

x =( 3 ÷ 1/9) brownies

x = ( 3 × 9/1) brownies

x = 27 brownies

Therefore, the number of brownies he made was 27 brownies.