The manager of a tea shop mixes two types of teas to make a specialty blend. Alone, the teas sell for $3.99 and $8.99 per ounce. How many ounces of each type of tea should be used to make 32 ounces of a mixture that sells for $5.99 per ounce?

Answer 1

If there are x ounces of the cheap tea, then the rest (32-x) is expensive. The cost of the mix must be the total of the costs of the components, so

3.99x + 8.99(32-x) = 5.99*32

Now just solve for x.