Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 11% hydrochloric acid solution. Find the amount of 12% solution and the amount of 6% solution she should mix to get this solution.

Let x be the quantity ( in ounces ) of 12% solution that is mixed with y quantity ( in ounces ) of 6% solution to obtain 24 ounces of 11% solution,

∵ Quantity of resultant solution = 24 ounces

⇒ x + y = 24

⇒ x = 24 - y ------(1)

Also, 12% of x + 6% of y = 11% of 24

0.12x + 0.06y = 0.11 × 24

12x + 6y = 264

From equation (1),

12(24-y) + 6y = 264

288 - 12y + 6y = 264

288 - 6y = 264

-6y = 264 - 288

-6y = -24

⇒ y = 4

Again from equation (1),

x = 24 - 4 = 20

Hence, 20 ounces of 12% solution and 4 ounces of 6% solution should mix to get this solution.

Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 11​% hydrochloric acid solution. Find the amount of 12​% solution and the amount of 6​% solution she should mix to get this solution.

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Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 11% hydrochloric acid solution. Find the amount of 12% solution and the amount of 6% solution she should mix to get this solution.