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anonymous

  • one year ago

How many milliliters of 0.30% sugar solution must you add to 75mL of 4% sugar solution to get a 0.50% sugar solution?

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  1. Kash_TheSmartGuy
    • one year ago
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    Please post it in Chemistry. This is math.

  2. anonymous
    • one year ago
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    but this is a math problem, I'm supposed to use rational functions to solve it

  3. mathstudent55
    • one year ago
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    75 ml of a 4% solution of sugar has 0.04(75 ml) amount of sugar. You are adding x ml of the 0.50% solution to it. How much sugar is there in x ml of 0.50% solution?

  4. anonymous
    • one year ago
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    .005x ml of sugar in the 0.50% solution

  5. anonymous
    • one year ago
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    ok

  6. mathstudent55
    • one year ago
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    You need to add x amount of the 0.3% solution. In x ml of solution, the 0.3% solution has 0.003x amount of sugar. Ok?

  7. anonymous
    • one year ago
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    ok

  8. mathstudent55
    • one year ago
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    Now when you add the 75 ml of solution to x ml of 0.3% solution, the amount of sugar will be: \(3 + 0.003x\) Right?

  9. anonymous
    • one year ago
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    why is it 3?

  10. mathstudent55
    • one year ago
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    4% * 75 ml = 3 ml (this amount of sugar comes from the 4% solution.) 0.003x (this amount of sugar comes from the 0.3% solution) We add the sugar, and we get: \(3 + 0.003x\)

  11. anonymous
    • one year ago
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    okay I understand now

  12. anonymous
    • one year ago
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    4% * 75 ml = 3 ml (this amount of sugar comes from the 4% solution.) 0.003x (this amount of sugar comes from the 0.3% solution) We add the sugar, and we get: 3+0.003x yup he is correct next time post in chemestry though but i understand why you did it in math

  13. mathstudent55
    • one year ago
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    The concentration of sugar is the amount of sugar divided by the total volume. We divided the amount of sugar, 3 + 0.003x by x + 75 and we want that to be 0.5% \(\dfrac{3 + 0.003x}{75 + x} = 0.005\)

  14. mathstudent55
    • one year ago
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    This is a math problem that can very well be in a math book under rational equations.

  15. anonymous
    • one year ago
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    ok

  16. anonymous
    • one year ago
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    The concentration of sugar is the amount of sugar divided by the total volume. We divided the amount of sugar, 3 + 0.003x by x + 75 and we want that to be 0.5% 3+0.003x/75+x =0.005 do you get it

  17. mathstudent55
    • one year ago
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    math deals with many situations, such as concentrations of solutions.

  18. anonymous
    • one year ago
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    yeah, I get that

  19. mathstudent55
    • one year ago
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    Now you solve the equation to find x, the volume of the 0.3% solution needed.

  20. anonymous
    • one year ago
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    I got x=1,312.5 Is that correct?

  21. mathstudent55
    • one year ago
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    Yes! Great job!

  22. anonymous
    • one year ago
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    oh! ok, thanks so much

  23. mathstudent55
    • one year ago
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    You're welcome.

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