SOLUTION: a merchant mixes tea that sells for $7.20/kg and tea that sells for $9.20/kg to make 100 kg of tea that he sells for $8.80/kg. How many kilograms of each type of tea did he mix?

Question 1123249: a merchant mixes tea that sells for $7.20/kg and tea that sells for $9.20/kg to make 100 kg of tea that he sells for $8.80/kg. How many kilograms of each type of tea did he mix?
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.

Your equation is THIS :


Cost of one ingredient + Cost of the other ingredient  = cost of the mixture,    or


9.20*x                 + 7.20*(100-x)                  = 100*8.80


Simplify and solve for x, which is an amount of the $9.20/kg tea.


Then evaluate 100-x for the mass of other tea.

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It is a standard and typical mixture problem.

If you need more details, or if you want to see other similar problems solved by different methods,
look into the lessons
    - 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.

Read them and become an expert in solution the mixture word problems.

The most relevant lessons are marked by (*) in this list.

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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