How many ounces of pure acid must be added to 20 ounces of a solution that is 5% acid to strengthen it to a solution that is 24% acid?

1.00x +.05 (20) =.24 (x + 20)

1.00 represents 100% solution. The variable X represents the unknown amount that will be added. The. 05 represents The 5% solution and 20 represents the 20 ounces of the 5% solution. On the right side the. 24 represents the 24% solution and the quantity (20 + X) represents the total amount of solution we will have at the end.

Solving the equation:

x + 1 =.24x + 4.8

Subtract. 24x from both sides.

.76x + 1 = 4.8

Subtract 1 from both sides.

.76x = 3.8

Divide both sides by. 76

x = 5

You must add 5 ounces of 100% pure acid