Complete the parts below. Write your answers as whole numbers or fractions in simplest form.

Question

(a)Donna makes fruit salad using a ratio of 2 blueberries to 6 strawberries. Give two different unit rates using this relationship.

One unit rate:

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

(Choose one)
for each
(Choose one)

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

Answer 1

(a) The ratio of blueberries to strawberries is 2:6, which can be simplified to 1:3.

One unit rate: 1 blueberry for every 3 strawberries.
Another unit rate: 3 strawberries for every 1 blueberry.

(b) To find how many blueberries are needed if 15 strawberries are used, we can set up a proportion based on the simplified ratio of 1 blueberry to 3 strawberries.

Let \( x \) be the number of blueberries needed. The proportion can be set up as: \[ \frac{1 \text{ blueberry}}{3 \text{ strawberries}} = \frac{x \text{ blueberries}}{15 \text{ strawberries}} \]

Cross-multiplying gives: \[ 1 \cdot 15 = 3 \cdot x \] \[ 15 = 3x \]

Dividing both sides by 3 yields: \[ x = 5 \]

So, 5 blueberries are needed if 15 strawberries are used.