SOLUTION: Use two equations in two variables to solve the application. See Example 6. (Objective 1) A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pou

Question 1152316: Use two equations in two variables to solve the application. See Example 6. (Objective 1)
A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound to make 30 pounds of a mixture worth $2.40 per pound. How many pounds of each should he use?
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.


Let x = pounds of peanuts

    y = pounds of jelly beans.


Then you have these two equations


     x +     y = 30         (1)   (pounds of the new mixture)

    3x + 1.50y = 2.40*30    (2)   (the total cost of the mixture in both sides)


From equation (1), express y = 30 - x  and substitute it into equation (2), replacing y.  You will get


    3x + 1.50*(30-x) = 72.


From the last equation.


    3x + 1.50*30 - 1.50x = 72

    3x - 1.50x = 72 - 45

    1.50x = 27

        x =  = 18.


ANSWER.  18 pounds of peanuts and the rest (30-18) = 12 pounds of jelly beans.

Solved.

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It is a standard and typical mixture word problem.

There is entire bunch of introductory 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 alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
    - Unusual word problem on mixtures
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, from very detailed to very short.

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 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 textbook in the section "Word problems" 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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