PLEASE ANSWER THIS! WILL MARK BRAINLIEST IF CORRECT!!!! SHOW SOLUTION IF POSSIBLE!!!!!!!! How many liters of a 40% sugar solution must

Question

PLEASE ANSWER THIS! WILL MARK BRAINLIEST IF CORRECT!!!! SHOW SOLUTION IF POSSIBLE!!!!!!!!
How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?

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Sophia 2 weeks 2021-09-09T12:03:41+00:00 1 Answer 0

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    2021-09-09T12:05:11+00:00

    Answer:

    7.5\ L

    Step-by-step explanation:

    Let

    x —-> liters of a 40% sugar solution

    Remember that

    40\%=40/100=0.40

    60\%=60/100=0.60

    56\%=56/100=0.56

    we know that

    The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56

    0.40x+0.60(30)=0.56(x+30)

    solve for x

    0.40x+18=0.56x+16.8

    0.56x-0.40x=18-16.8

    0.16x=1.2

    x=7.5\ L

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