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 attempting to produc

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 attempting to produc      Log On


   

Question 1145179: 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 150 pints of a mixture that is the 65% pure fruit juice?
Found 2 solutions by ikleyn, greenestamps:
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 . . .


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/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.613430.html

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

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

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

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


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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.


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


For a completely different method for solving "mixture" problems like this, try this:

(1) Imagine starting with 55% juice and adding 80% juice and stopping when the mixture is 65% juice.
(2) Look at the 3 percentages 55, 65, and 80 on a number line.
(3) Observe/calculate that 65 is 2/5 of the way from 55 to 80.
(4) Since 65 is 2/5 of the way from 55 to 80, 2/5 of the mixture needs to be the 80% juice that you are adding.

ANSWER: 2/5 of the 150 pints, or 60 pints, is the 80% juice; the other 3/5, or 90 pints, is the 55% juice.