Question

Shannon has three different recipes for chocolate chip cookies. If she wants to make 4 dozen cookies from Batch A, she needs to use 2 cups of chocolate chips. If she wants to make 3 dozen cookies from Batch B, she needs to use 3 cups of chocolate chips. If she wants to make 3 dozen cookies from Batch C, she needs to use 1.5 cups of chocolate chips. Calculate each unit rate and then select the true statements below.


Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.


Batch B uses 1 cup of chocolate chips per 1 dozen cookies.


Batch C uses less cups of chocolate chips per dozen than Batch A.


Batch A and Batch C have the same number of cups of chocolate chips per cookie.


Batch A and Batch B have the same number of cups of chocolate chips per cookie.


Batch B uses less cups of chocolate chips per dozen than Batch C.

Answer 1

Answer:

1.) Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.

2.)  Batch B uses 1 cup of chocolate chips per 1 dozen cookies.

Step-by-step explanation:

To calculate the unit rate for each batch, set up a ratio of cups of chocolate chips to dozens of cookies for each batch and simplify.

Batch A and Batch C both have a unit rate of 0.5 cups of chocolate chips per 1 dozen cookies. Batch B has a unit rate of 1 cup of chocolate chips per 1 dozen cookies.

So, the true statements would be Batch A and Batch C have the same number of chocolate chips per cookie, Batch B uses 1 cup of chocolate chips per 1 dozen cookies, and Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.

Answer 2

Answer:

 Batch C would use 6 cups of chocolate chips to make 12 dozen cookies.  

 Batch A and Batch C have the same number of cups of chocolate chips per cookie.

 Batch B uses 1 cup of chocolate chips per 1 dozen cookies.

Step-by-step explanation: