Question

additional practice problem set unit 4 lesson 4 additional practice problems 1. elena buys 4 lb of blueberries to make blueberry muffins. each batch of blueberry muffins uses \\(\frac{2}{3}\\) lb of blueberries. if elena uses all the blueberries, how many batches will she make? a. draw a diagram to represent the situation and label your diagram so it can be followed by others. b. if elena uses all the blueberries, how many batches will she make? c. write a multiplication or division equation to represent the situation. d. multiply your answer in the first question (the number of batches) by \\(\frac{2}{3}\\). do you get 4 as a result? if not, revise your previous work.

Explanation:

Step1: Total blueberries ÷ per batch amount

$$4 \div \frac{2}{3}$$

Step2: Rewrite division as multiplication

$$4 \times \frac{3}{2}$$

Step3: Calculate the product

$$\frac{4 \times 3}{2} = 6$$

Step4: Verify with multiplication

$$6 \times \frac{2}{3} = \frac{12}{3} = 4$$

Answer:

a. (Diagram: Draw a long rectangle labeled "Total Blueberries: 4 lb". Divide it into 4 equal smaller rectangles, each labeled "1 lb". Then divide each 1 lb rectangle into 3 equal parts, each part is $\frac{1}{3}$ lb. Circle groups of 2 parts (each group = $\frac{2}{3}$ lb, 1 batch). There will be 6 such groups total.)
b. 6 batches
c. $4 \div \frac{2}{3} = 6$ or $\frac{2}{3} \times 6 = 4$
d. Yes, $6 \times \frac{2}{3} = 4$, which matches the total blueberries, so the previous work is correct.