SOLUTION: I have been working on this 2 hrs and I am exhausted mentally. Please help w this practice wk.
A 10​% solution of fertilizer is to be mixed with a 60​% solution of
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Question 1127810: I have been working on this 2 hrs and I am exhausted mentally. Please help w this practice wk.
A 10% solution of fertilizer is to be mixed with a 60% solution of fertilizer in order to get 150 gallons of a 50% solution. How many gallons of the 10% solution and 60% solution should be mixed?
Found 3 solutions by josgarithmetic, addingup, ikleyn:
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
Wanted, 150 gallons of 50% fertilizer
x gallons of the 60%
150-x gallons of the 10%
Solve for x and evaluate 150-x.
-
------gallons of the 60% fertilizer
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
You want to get 150 gallons of a 50% solution
Let the 10% solution be x
Since you want 150 g. total, the amount of solution at 60% will be 150 - x
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.10x + 0.60(150 - x) = 0.50(150)
0.10x + 90 - 0.60x = 75
-0.50x = -15
x = 30
you need 30 gallons of the 10% solution and 150-30 = 120 gallons of the 60% solution.
Answer by ikleyn(52815) (Show Source): You can put this solution on YOUR website!
.
It is a standard and typical mixture problem.
For introductory lessons covering various types of mixture word problems see
- Mixture problems
- More Mixture problems
- Solving typical word problems on mixtures for solutions
- Typical word problems on mixtures from the archive
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.
Read them and become familiar with 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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