Question

1. Use Row 1 to write a ratio for the amount of apple juice to orange juice used in 1 smoothie. 2. Use row 3 to write an equivalent ratio for the amount of apple juice to orange juice used in 3 smoothies. To create this ratio, what did Sarah do to each number in row 1?3. How many ounces of apple juice should Sarah use to make 2 smoothies? Explain how you found your answer. 4. To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.

Answer 1

1) 8 : 4

2) 24 : 12

3) 16 ounces of apple juice

4) amount of apple juice = 40

amount for orange juice = 20

Step-by-step explanation:

1) To make 1 smothie, 4 orange juice and 8 apple juice was used

Ratio for amount of apple juice to orange juice = 8 : 4

2) for 3 smoothies, 12 orange juice and 24 apple juice was used

Ratio for the amount of appl juice to orange juice = 24 : 12

3) To make 2 smoothies, 8 orange juice was used

We need to find amount of apple juice used:

From 1 to 2 smoothies for orange juice, amount increased from 4 to 8

multiplying factor = 8/4 = 2

This shows that to increase the amount of juice we multiply the amount for 1 smoothies by 2

8 = 4 ×2

For apple juice = 8 × 2 = 16

Hence, Sarah should use 16 ounces of apple juice

4) ratio of juice for 1 smoothie, apple to orange = 8 : 4

For 5 smoothies:

Amount of apple juice = 8 × 5 = 40

Amount of orange juice = 4 × 5 = 20