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Sagot :
The amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
What are Percentages?
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the amount of 5% lemon juice mixture that is needed to be mixed be represented by x, then the amount of 20% lemon juice mixture will be represented by (42-x), because the total mixture is needed to be 42 liters.
Now, given that George wants 42 liters of a mixture of water and 15% lemon juice with a mixture of 5% lemon juice, and a mixture of 20% lemon juice. Therefore, we can write,
5% of x + 20% of (42-x) = 15% of 42 liters
0.05x + 0.2(42 - x) = (0.15×42)
0.05x + 8.4 - 0.2x = 6.3
0.05x - 0.2x = 6.3 - 8.4
-0.15x = -2.1
x = -2.1 / -0.15
x = 14
Further, the amount of mixture of lemon juice that is needed to be mixed can be written as,
- 5% lemon juice mixture, x = 14 liters
- 20% lemon juice mixture, (42 - x) = 28 liters
Hence, the amount of 5% lemon juice mixture and 20% lemon juice mixture that needed to be mixed is 14 liters and 28 liters, respectively.
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