An herbalist has 20 oz of herbs costing $2.10 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce?

Question

Quizplus · Accepted Answer

Let x be the number of ounces of herbs costing $1 per ounce to be added to the mixture.

We can write an equation based on the information given:

20(2.10) + x(1) = (20 + x)(1.44)

Simplifying this equation, we get:

42 + x = 28.8 + 1.44x

Subtracting x and 28.8 from both sides, we get:

13.2 = 0.44x

Solving for x, we get:

x = 30

Therefore, 30 oz of herbs costing $1 per ounce should be mixed with the 20 oz to produce a mixture costing $1.44 per ounce.

An Herbalist Has 20 Oz of Herbs Costing $2