Question

How do you make a table of this question: How many quarts of pure orange juice should Michael add to a 10% orange drink to create 6 quarts of a 40% orange juice mixture? Let p represent the number of quarts of pure orange juice he should add to the orange drink.

Answer 1

Answer:

 We should add 2.4 quarts of pure orange juice to 3.6 quarts 10% orange juice to make 6 quarts of 40% orange juice.

Explanation:

 Let p represent number of quarts of pure orange juice and q represent number of quarts of 10% orange juice.

We have total quarts required = 6

So, p+q =6 --------------------equation 1

The orange content of 6 quarts = 40 % = 6 x 40/100 = 2.4 quarts.

Orange content in p pure juice = p quarts.

Orange content in q, 10% juice = q x 10/100 = 0.1 q quarts

So we have, p + 0.1 q = 2.4 --------------------equation 2

Equation 1 - Equation 2 gives

       0.9 q = 6 -2.4

            q = 3.6 quarts

      p + 3.6 = 6

          p = 2.4 quarts

So we should add 2.4 quarts of pure orange juice to 3.6 quarts 10% orange juice to make 6 quarts of 40% orange juice.