Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Step-by-step explanation:
Given,
Cups of blueberries used for 3 cups of strawberry = 2
Ratio of cups of blueberry to strawberry = 2:3
Joy wants to use 6 cups of blueberries.
Let,
x be the cups of strawberry for 6 cups of blueberries.
Ratio of cups of blueberries to strawberries = 6:x
Using proportion;
Ratio of cups of blueberry to strawberry :: Ratio of cups of blueberries to strawberries
[tex]2:3::6:x[/tex]
Product of extreme = Product of mean
[tex]2*x=3*6\\2x=18[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{18}{2}\\x=9[/tex]
Joy will need to use 9 cups of strawberries for 6 cups of blueberries.
Keywords: ratio, proportion, division
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