SOLUTION: 1. A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram. White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilo

Question 1188335: 1. A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram. White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilo- gram. How much white chocolate is needed in the 40-kg mixture?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
A 40-kg mixture of white and dark chocolates is to be sold at Php55 per kilogram.
White chocolates alone cost Php40 per kilogram, while dark chocolates alone cost Php80 per kilogram.
How much white chocolate is needed in the 40-kg mixture?
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Take x kilograms of thedark chocolate and (40-x) kilograms of the white chocolate.


Then the cost of the mixture will be  80x + 40*(40-x), so you have this cost equation


    80x + 40*(40-x) = 55*40.


From the equation,


    x =  = 15.


ANSWER.  15 kg of the dark chokolate and the rest, 40-15 = 25 kg of the white chocolate.


CHECK.   = 55 Php per kilo of the mixture.  ! Correct !

Solved.

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It is a typical " mixture " problem.

In this site, 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

    - OVERVIEW of lessons on word problems for mixtures

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 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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