Using proportions, it is found that there are 1.125 cups of strawberries in each pie.
What is a proportion?
A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For this problem, from the ratios, we have that:
- The ratio of cups of blueberries to cups of raspberries is 1 : 3, hence, for each 4 cups, 1 is blueberry and 3 is raspberry.
- The ratio of cups of raspberries to cups of strawberries is 4 : 3, hence, for each 7 cups, 4 are raspberries and 3 are strawberries.
The least common multiple of 3 and 4 is 12, hence, multiplying 4 by 3, the ratio is:
Raspberries : Strawberries : Blueberries = 12 : 9 : 4
Meaning that our of 12 + 9 + 4 = 25 cups, we have that:
- 12 cups are of raspberries.
- 9 cups are of strawberries.
- 4 cups is of blueberries.
There amounts are for 8 pies, hence, for a single pie:
9/8 = 1.125 cups.
There are 1.125 cups of strawberries in each pie.
More can be learned about proportions at https://brainly.com/question/24372153
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