SOLUTION: An herbalist has 30 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 per ounce should be mixed with these 30 oz of herbs to produce a mixture costing $2.50 per

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Question 765583: An herbalist has 30 oz of herbs costing $3 per ounce. How many ounces of herbs costing $2 per ounce should be mixed with these 30 oz of herbs to produce a mixture costing $2.50 per ounce?
oz
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Basic relationship is {money}/{quantity}={moneyperquantity}

%2830%2A3%2Bh%2A2%29%2F%2830%2Bh%29=2.50
h is the number of ounces of the $2 per ounce herbs to use. Adding h increases the amount of money of the blend only because it increases the amount of the blend. The amount h is less price than the given $3 per ounce herbs; so the unit price decreases.
SOLVE FOR h.

30%2A3%2B2h=2.50%28h%2B30%29
15%2A3%2Bh=1.25%28h%2B30%29
45%2Bh=1.25h%2B37.5
45-37.5=0.25h
12.5=0.25h ____________then just multiply by 4,
h=4%2A%2812.5%29
h=50