# Solving algebra word questions

1. What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300 mL of a 50% solution?

2. A pot contains 6L of brine at a concentration of 120g/L. How much of the water should be boiled off to increase the concentration to 200 g/L?

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3. A merchant blends tea that sells for \$3.00 a pound with tea that sells for \$2.75 a pound to produce 80 lbs of a mixture that sells for \$2.90 a pound. How many pounds of each type of tea does the merchant use in the blend? 1.What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300 mL of a 50% solution?

Solution:

Let x be the number of ml of 60% acid solution to be added to (300-x) ml of 30% acid solution to obtain 50% of 300 ml acid solution.

Formulate the equation as below and solve for x:
0.60x + 0.30(300 – x) = 0.50(300)
0.60x + 90 – 0.30x = 150
0.60x – 0.30x = 150 – 90
0.30x = 60
x = …

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