Complete the parts below. Write your answers as whole numbers or fractions in simplest form.
(a)Eric makes fruit salad using a ratio of 3 blueberries to 12 strawberries. Give two different unit rates using this relationship.
(b)How many blueberries are needed if 16 strawberries are used?
(a) Two different unit rates that can be determined are:
- 1 blueberry to 4 strawberries
- 3/12 blueberries to 12 strawberries (or 1/4 blueberries to 4 strawberries)
(b) To find out how many blueberries are needed if 16 strawberries are used, we can set up a proportion:
3 blueberries / 12 strawberries = x blueberries / 16 strawberries
Cross-multiplying, we get:
12x = 3 * 16
12x = 48
Dividing both sides by 12, we find:
x = 48 / 12
x = 4
Therefore, 4 blueberries are needed if 16 strawberries are used.