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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.

User Jonnydee
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1 Answer

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Answer:

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.

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

User Mohd Shahril
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