Home cleaning

Mr. Smith is cleaning up a big mess at home. In the closet, he finds a solution that is 5% bleach, and another stronger solution that is 20% bleach. For this particular job, he needs 600mL of 15% bleach. How much of each type (to the nearest mL) should he mix together to do this cleaning job?

Correct result:

a =  200
b =  400

Solution:


a+b = 600
0.05a + 0.20b = 0.15 • 600

a+b = 600
0.05•a + 0.20•b = 0.15 • 600

a+b = 600
0.05a+0.2b = 90

a = 200
b = 400

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