Question 1143465: Please kindly help me solve this.
A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $20.80 per pound should be mixed with 10 pounds of trail mix costing $3.00 per pound to create a mixture worth $13.38 per pound.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
Answer by ikleyn(52787)  (Show Source):
You can put this solution on YOUR website! .
Let x = the amount, in pounds, of the $20.80 chocolate.
Then the total amount of the mixture is (x+10) pounds.
From the condition, you have this equation
 = 13.38. (1)
This equation says that the price of the mixture is $13.38 per pound.
To solve equation (1), multiply both sides by (x+10)
20.80*x + 3.00*10 = 13.38*(x+10),
20.80*x + 3.00*10 = 13.38*x + 13.38*10
20.80*x - 13.38*x = 13.38*10 - 3.00*10
7.42*x = 103.80
x =  = 13.989.
ANSWER: 13.989 pounds of the chocolate.
CHECK.  = 13.38 dollars per pound of the mixture. ! Correct !
Solved.
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If you want to see many other similar solved problems (your TEMPLATES), look into my lessons
- 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
in this site.
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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