SOLUTION: An herbalist has 30 oz of herbs costing $4 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with these 30 oz of herbs to produce a mixture costing $2.50 per

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: An herbalist has 30 oz of herbs costing $4 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with these 30 oz of herbs to produce a mixture costing $2.50 per      Log On


   

Question 1152266: An herbalist has 30 oz of herbs costing $4 per ounce. How many ounces of herbs costing $1 per ounce should be mixed with these 30 oz of herbs to produce a mixture costing $2.50 per ounce?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x, how many ounces of the $1 per ounce herbs

x+30, amount of mixture, ounces

%2830%2A4%2Bx%29%2F%28x%2B30%29=2.5


x%2B4%2A30=2.5%28x%2B30%29
x%2B4%2A30=2.5x%2B2.5%2A30
4%2A30-2.5%2A30=1.5x
highlight%28x=30%29



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Look at the two prices. The middle of $4 and $1 per ounce is $2.5 per ounce. You want equal amounts of the two ingredient herbs to get that middle price.