Answer: The amount of pure orange juice that needs to be added is 2.5 quarts
Step-by-step explanation:
We are given:
Amount of orange juice added in 10% solution = 5 quarts
So, total amount of orange juice added = [tex]\frac{10}{100}\times 5=0.5[/tex] quarts
We need to find:
The amount of pure orange juice added in 40 % solution
Let the amount of pure orange juice added be 'x' quarts
Calculating the amount of pure orange juice added:
Amount of pure juice in 10% solution plus the amount of pure juice added will be equal to the amount of pure juice added in 40 % solution
Amount of pure juice added in 40 % solution = [tex]\frac{40}{100}\times (5+x)=0.4(5+x)[/tex]
Expression becomes:
[tex]0.5+x=0.4(5+x)\\\\0.5+x=2+0.4x\\\\x==\frac{1.5}{0.6}=2.5[/tex]
Hence, the amount of pure orange juice that needs to be added is 2.5 quarts
