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

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!
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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".

Solved.

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There is entire bunch of lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts (*)
    - Word problems on mixtures for dry substances like candies, dried fruits (*)
    - Word problems on mixtures for dry substances like soil and sand
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problem for three alloys
    - OVERVIEW of lessons on word problems for mixtures
in this site.

The closest by their themes are the lessons marked (*) in the list.
Read them and become an expert in solution the mixture word problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Mixture problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

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