Question

Which of the following expressions represents the amount of flour Demaris needs to make 2 and 1/4 batches of cookies if 4 batches require 2/3 cups of flour per batch?

A) 2/3 cups of flour for 2 and 1/4 batches
B) 2 1/2 cups of flour for 2 and 1/4 batches
C) 4 5/6 cups of flour for 2 and 1/4 batches
D) 3 1/2 cups of flour for 2 and 1/4 batches

Answer 1

To determine the amount of flour needed for 2 and 1/4 batches of cookies, we calculate 2/3 cups of flour per batch and then scale it to 2.25 batches, which results in 1.5 cups of flour. The correct expression is B) 2 1/2 cups of flour for 2 and 1/4 batches.

Step-by-step explanation:

To find which of the following expressions represents the amount of flour Demaris needs to make 2 and 1/4 batches of cookies, given that 4 batches require 2/3 cups of flour per batch, we perform the following calculation:

First, let's determine how much flour is needed for one batch:

(2/3 cups/batch) × 4 batches = 8/3 cups for 4 batches

We then calculate the amount needed for 1 batch:

8/3 cups ÷ 4 = 2/3 cups for 1 batch

To get the amount for 2 and 1/4 batches:

(2/3 cups) × 2.25 = (2/3) × (9/4) = 18/12 = 1.5 cups

Therefore, the correct expression is:

B) 2 1/2 cups of flour for 2 and 1/4 batches