You make two batches of cookies. In batch A you use 3/4 of a cup of flour to every 1/5 of a cup of chocolate chips. In batch B you use 2/3 of a cup of flour for every 1/6 of a cup of chocolate chips. Find the unit rates for flour per cup of chocolate chips for each batch and decide which cookies have more chocolate chips.

a) The unit rate are:

Batch A = 3 3/4 flour per cup of chocolate chips

Batch B = 4 flour per cup of chocolate chips.

b)Batch A is the cookie with the most chocolate chips.

Step-by-step explanation:

In batch A you use 3/4 of a cup of flour to every 1/5 of a cup of chocolate chips.

The unit rate for flour per cup of chocolate chips for batch A =3/4 cups of flour ÷ 1/5 cup of chocolate chips

= 3/4 ÷ 1/5

= 3/4 × 5/1

= 15/4

= 3 3/4 flour per cup of chocolate chips.

In batch B you use 2/3 of a cup of flour for every 1/6 of a cup of chocolate chips.

The unit rate for flour per cup of chocolate chips for batch B =

2/3 of a cup of flour ÷ 1/6 of a cup of chocolate chips.

= 2/3 ÷ 1/6

= 2/3 × 6/1

= 4 flour per cup of chocolate chips.

b)

Number of chocolate chips used in Batch A = 1/5 cup =>0.2 cup

Number of chocolate chips used in Batch B = 1/6 cup => 0.167 cup

0.2 cup is larger than 0. 167 cups.

Therefore, Batch A is the cookies with the most chocolate chip