Question

Question 28 A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is salt and Solution B is salt. She wants to obtain ounces of a mixture that is salt. How many ounces of each solution should she use?

Answer 1

12 ounces and 28 ounces

Step-by-step explanation:

Let us assume the ounces of solution A be x

And, for solution B be y

Also

x + y = 40

y = 40 - x

salt in solution A is = 35% of x

salt in solution B is = 85% of y = 85% × ( 40 - x)

salt in the mixture is = 70% of 40 = 28

Now the equation would be

35x ÷ 100 + 85 ÷ 100 × ( 40 - x) = 28

35x + 3,400 - 85x = 2,800

35x - 85x = 2,800 - 3,400

-50x = -600

x = 12 ounces

Also y = 40 - x

= 40 - 12

= 28 ounces