Question

Gabriella wants to make 7 ml of a 25% sugar solution by mixing together a 55% sugar solution and a 20% sugar solution. How much of each solution must she use?

Answer 1

The amount of the 55% sugar solution that Gabriella needs to use as x and the amount of the 20% sugar solution as 7 - x (since the total volume is 7 ml). Gabriella needs to use 1 ml of the 55% sugar solution and 7 - 1 = 6 ml of the 20% sugar solution to make 7 ml of a 25% sugar solution.

Step-by-step explanation:

Let's denote the amount of the 55% sugar solution that Gabriella needs to use as x and the amount of the 20% sugar solution as 7 - x (since the total volume is 7 ml).

The equation for the total amount of sugar in the mixture is:

0.55x + 0.20(7 - x) = 0.25(7)

Now, let's solve for x:

0.55x + 1.4 - 0.20x = 1.75

Combine like terms:

0.35x + 1.4 = 1.75

Subtract 1.4 from both sides:

0.35x = 0.35

Divide by 0.35:

x = 1

So, Gabriella needs to use 1 ml of the 55% sugar solution and 7 - 1 = 6 ml of the 20% sugar solution to make 7 ml of a 25% sugar solution.