anonymous
  • anonymous
How many milliliters of 0.30% sugar solution must you add to 75mL of 4% sugar solution to get a 0.50% sugar solution?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Kash_TheSmartGuy
  • Kash_TheSmartGuy
Please post it in Chemistry. This is math.
anonymous
  • anonymous
but this is a math problem, I'm supposed to use rational functions to solve it
mathstudent55
  • mathstudent55
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?

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More answers

anonymous
  • anonymous
.005x ml of sugar in the 0.50% solution
anonymous
  • anonymous
ok
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
ok
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
why is it 3?
mathstudent55
  • mathstudent55
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: \(3 + 0.003x\)
anonymous
  • anonymous
okay I understand now
anonymous
  • anonymous
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
mathstudent55
  • mathstudent55
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% \(\dfrac{3 + 0.003x}{75 + x} = 0.005\)
mathstudent55
  • mathstudent55
This is a math problem that can very well be in a math book under rational equations.
anonymous
  • anonymous
ok
anonymous
  • anonymous
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
mathstudent55
  • mathstudent55
math deals with many situations, such as concentrations of solutions.
anonymous
  • anonymous
yeah, I get that
mathstudent55
  • mathstudent55
Now you solve the equation to find x, the volume of the 0.3% solution needed.
anonymous
  • anonymous
I got x=1,312.5 Is that correct?
mathstudent55
  • mathstudent55
Yes! Great job!
anonymous
  • anonymous
oh! ok, thanks so much
mathstudent55
  • mathstudent55
You're welcome.

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