Questions: (a) Lena makes fruit salad using a ratio of 2 blueberries to 10 strawberries. Give the unit rates for this relationship. One unit rate: strawberries for each blueberry Another unit rate: (Choose one) for each (Choose one) (b) How many blueberries are needed if 15 strawberries are used?

(a) Lena makes fruit salad using a ratio of 2 blueberries to 10 strawberries. Give the unit rates for this relationship.

One unit rate: strawberries for each blueberry

Another unit rate: (Choose one) for each (Choose one)

(b) How many blueberries are needed if 15 strawberries are used?

Transcript text: (a) Lena makes fruit salad using a ratio of 2 blueberries to 10 strawberries. Give the unit rates for this relationship. One unit rate: $\square$ strawberries for each $\square$ blueberry Another unit rate: $\square$ (Choose one) for each (Choose one) (b) How many blueberries are needed if 15 strawberries are used?

Solution

Solution Steps

Step 1: Determine the Unit Rate of Strawberries per Blueberry

Given the ratio of blueberries to strawberries is $2:10$.
To find the unit rate of strawberries per blueberry, divide the number of strawberries by the number of blueberries: \[ \frac{10}{2} = 5 \]
Therefore, the unit rate is 5 strawberries for each blueberry.

Step 2: Determine the Unit Rate of Blueberries per Strawberry

To find the unit rate of blueberries per strawberry, divide the number of blueberries by the number of strawberries: \[ \frac{2}{10} = \frac{1}{5} \]
Therefore, the unit rate is $\frac{1}{5}$ blueberries for each strawberry.

Step 3: Calculate the Number of Blueberries Needed for 15 Strawberries

Use the unit rate of blueberries per strawberry, which is $\frac{1}{5}$.
Multiply the number of strawberries by the unit rate to find the number of blueberries: \[ 15 \times \frac{1}{5} = 3 \]
Therefore, 3 blueberries are needed for 15 strawberries.