Question

Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of each solution should Misty use?

Answer 1

Answer:

Misty needs 27.13 ounces of 72% acid and 57.87% of 25% acid solution.

Step-by-step explanation:

85 ounces of 40% acid solution = 85 (0.4) = 34

Also, x + y = 85 ... (1)

0.72x + 0.25y = 34  

72x + 25y = 3400 ...(2)

multiply eq (1) by 25, we get 25x + 25y = 2125 ... (3)

subtracting eq(2) and (3), we get 47x = 1275

x = 27.13 substitute in eq(1), we get

y = 57.87

Misty needs 27.13 ounces of 72% acid and 57.87% of 25% acid solution.