SOLUTION: A kilogram of milk chocolate sells for Php60, and a kilogram of bittersweet chocolate sells Php80. how many kilograms of each must be mixed to form 24 kilograms of an assortment se

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Question 1132365: A kilogram of milk chocolate sells for Php60, and a kilogram of bittersweet chocolate sells Php80. how many kilograms of each must be mixed to form 24 kilograms of an assortment selling of Php72.50 per kilogram? (use only one variable and thanks in advance)
Answer by ikleyn(52873)   (Show Source): You can put this solution on YOUR website!
.

Let x be the amount of the Php80 chocolate in the mix (in kilograms).


Then the amount of the Php60 chocolate in the mix is the rest (24-x) kilograms.


The total cost of the mix then is  80x + 60*(24-x).


Per kilogram, the price of the mix is  .


We want this price would be Php72.50 .


It gives you an equation


     = 72.50.


To solve it, multiply both sides by 24 and then simplify step by step


    80x + 60*(24-x) = 24*72.50

    80x + 60*24 - 60x = 24*72.50

    20x = 24*7250 - 24*60

    x =  = one click in Excel = 15.


Answer.  15 kilograms of the  Php80 chocolate and  24-15 = 9 kilograms of the Php60 chocolate.


CHECK.   = 72.50 Php.    ! Precisely correct !

Solved.

------------------

You may use my solution as a  TEMPLATE  to solve other similar problems.

Also,  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 problems
    - Advanced mixture problem for three alloys
    - OVERVIEW of lessons on word problems for mixtures
in this site.

A convenient place to quickly observe these lessons from a  "bird flight height"  (a top view)  is the last lesson in the list.

Read them;  use them as your  TEMPLATES  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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