How to Calculate the Amount of Different Sucrose Solutions to Make a Desired Solution

What does Fred need to do his science experiment?

Fred needs 45ml of 15% sucrose solution to do his science experiment. He needs to mix a 10% sucrose solution with some 25% sucrose solution to get the 15% solution he wants. How much of each should Fred use? (include units with your numerical answers.)

Answer:

To determine the amounts of the 10% and 25% sucrose solutions Fred should use to obtain the desired 45ml of 15% sucrose solution, follow these steps:

Calculating the Amount of each Sucrose Solution:

Let's assign the quantity of the 10% sucrose solution Fred needs to use as "x" (in ml).

Since the total desired volume of the 15% sucrose solution is 45ml, the amount of the 25% sucrose solution needed would be the remaining volume, which is (45 - x) ml.

To determine the sucrose quantities in the final mixture, we can set up the following equation:

0.10x + 0.25(45 - x) = 0.15(45)

Simplifying the equation:

0.10x + 11.25 - 0.25x = 6.75

Combining similar terms:

-0.15x = -4.5

Dividing both sides by -0.15:

x = (-4.5) / (-0.15) = 30

Therefore, Fred should use 30ml of the 10% sucrose solution and (45 - 30) = 15ml of the 25% sucrose solution to obtain the desired 45ml of the 15% sucrose solution.