SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 55 % pure fruit juice, and the second type is 80 % pure fruit juice. The company is attempti

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The Royal Fruit Company produces two types of fruit drinks. The first type is 55 % pure fruit juice, and the second type is 80 % pure fruit juice. The company is attempti      Log On


   



Question 1185195: The Royal Fruit Company produces two types of fruit drinks. The first type is
55
%
pure fruit juice, and the second type is
80
%
pure fruit juice. The company is attempting to produce a fruit drink that contains
65
%
pure fruit juice. How many pints of each of the two existing types of drink must be used to make
160
pints of a mixture that is
65
%
pure fruit juice?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Too too many mixture exercises and answers about Royal Fruit Company have already been done on this site.


Available are 55% pure juice and 80% pure juice and wanted is 160 pints of 65% pure juice drink.

If v pints of the 80% is to be used, then 160-v pints of the 55% juice would be used.
highlight_green%2880v%2B55%28160-v%29=65%2A160%29
Simple algebra from here, if that is the approach you want.

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

Almost every day similar problem comes again and again. //     and, probably, they will never stop . . .

It looks like that we at this forum just serve to fill somebody's different web-site . . . (and, probably, more than one web-site . . . )


I made a quick search of the solved problems at this forum, that begin with these words

     The Royal Fruit Company produces two types of fruit drinks.

Hope it will help you . . .


https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.601514.html

https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.613430.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.932201.html

https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.964032.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.610357.html

https://www.algebra.com/algebra/homework/coordinate/Linear-systems.faq.question.1077815.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.610357.html

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.1102771.html

https://www.algebra.com/algebra/homework/word/mixtures/Mixture_Word_Problems.faq.question.1061700.html

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

It is a standard and typical mixture problem.

If you really want to learn on how to solve them, look for these introductory lessons covering various types
of mixture word problems in this site
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Typical word problems on mixtures from the archive

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.

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.