Question 1143465
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<pre>
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 


    {{{(20.80*x + 3.00*10)/(x+10)}}} = 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           = {{{103.80/7.42}}} = 13.989.


<U>ANSWER</U>: 13.989 pounds of the chocolate.


<U>CHECK</U>.    {{{(20.80*13.989+3*10)/(13.989+10)}}} = 13.38  dollars per pound of the mixture.    ! Correct !
</pre>

Solved.


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If you want to see many other similar solved problems (your TEMPLATES), look into my lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-word-problems-on-mixtures-for-dry-substances-coffee-nuts.lesson>Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Word-problems-on-mixtures-for-dry-substances-like-cookies-candies.lesson>Word problems on mixtures for dry substances like candies, dried fruits</A>

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



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
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