SOLUTION: The owner of a candy store wants to make a 50-pound mixture of two candies to sell for $4 per pound. If red licorice bits sell for $3.40 per pound and lemon gumdrops sell for $4.40
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Question 1098125: The owner of a candy store wants to make a 50-pound mixture of two candies to sell for $4 per pound. If red licorice bits sell for $3.40 per pound and lemon gumdrops sell for $4.40 per pound, how many pounds of each should be used? Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
The owner of a candy store wants to make a 50-pound mixture of two candies to sell for $4 per pound.
If red licorice bits sell for $3.40 per pound and lemon gumdrops sell for $4.40 per pound, how many pounds of each should be used?
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Let x be the amount of the "red licorice bits" in pounds to be mixed.
Then the amount of the "lemon gumdrops" is (50-x) pounds.
The "price" equation is this"
= 4 dollars.
To solve it, multiply both sides by 50. You will get
3.4*x + 4.4*(50-x) = 50*4 ====> 3.4x + 220 - 4.4x = 200 ====> -1*x = 200 - 220 ====> -x = -20 ====> x = 20.
Answer. 20 pounds of the "red licorice bits" must be mixed with 50-20 = 30 pounds of "lemon gumdrops".
