8 pounds of blueberries are needed to make 20 blueberry pies.
Step-by-step explanation:
Given,
To make 5 blueberry pies, 2 pounds of blueberries are used.
Ratio of pounds to pie = 2:5
Let,
x be the pounds of blueberries to make 20 pies.
Ratio of pounds to pie = x:20
Using proportion;
Ratio of pounds to pies :: Ratio of pounds to pies
[tex]2:5::x:20[/tex]
Product of mean = Product of extreme
[tex]5*x=20*2\\5x=40[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{40}{5}\\x=8[/tex]
8 pounds of blueberries are needed to make 20 blueberry pies.
Keywords: ratio, proportion
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