Question

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

Answer 1

Answer: We need to add 1312.5 mililiters.

Step-by-step explanation:

We have a solution of 75ml of 4% of sugar, and we want to know hoy many mililites of 0.30 sugar solution we need to add if we want to get to a solution of 0.50%.

First, we if we add X mililiters of the second solution, we have that the total number of mililiters is:

X + 75 = M

and we also have that for the mixture we need to have that the percentage of sugar in both components corresponds to:

(X*0.003 + 75*0.04) = M*0.005

where i written the percentages as decimals.

now we can write this as:

(X*0.003 + 75*0.04) = (X + 75)*0.005

now we can solve this for X.

(75*0.04 - 75*0.005) = X*0.005 - X*0.003 = X*0.002

2.625 = X*0.002

X = 2.626/0.002 = 1312.5 mililiters.

Answer 2

Based on the given data above, the equation below has been generated,
(X mL)(0.003) + 75 mL (0.04) = 0.005 (75 + X); X being the amount in mL of the sugar solution, by further simplification of the generated equation, it can be said that 1312.5 mL of 0.30% sugar solution should be added to 75 mL of 4% solution to come up with a 0.5% sugar solution.