SOLUTION: I have already started the 1st part of of this problem which was: "A gardener combines X fluid oz od a 20 % liquid fertilizer and 80 % water mix with y fluid Oz of a 5 % liquid fe

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: I have already started the 1st part of of this problem which was: "A gardener combines X fluid oz od a 20 % liquid fertilizer and 80 % water mix with y fluid Oz of a 5 % liquid fe      Log On

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Question 1064356: I have already started the 1st part of of this problem which was:
"A gardener combines X fluid oz od a 20 % liquid fertilizer and 80 % water mix with y fluid Oz of a 5 % liquid fertilizer and 95 % water mix to make 30 fluid oz of a 10 % fertilizer and 90 % water mix. Write and solve the system of linear equations.."
And it came out to x=10 and y=20
But there is a second question that I am lost on. It's worded like:
"Suppose the gardener combines 100% water and the 20% liquid fertilizer and 80% water mix to make 30 fluid ounces of the 10% liquid fertilizer and 90% water mix. Is more of the 20% liquid fertilizer and 80% water mix used in this mix than the original mix? Explain."
And I do not understand how to approach this.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x of 20% fertilizer, y of 5% fertilizer.
The water is just to carry the fertilizer and is not necessarily part of the calculations.

system%28%2820x%2B5y%29%2F30=10%2Cx%2By=30%29


SIMPLIFY THE CONCENTRATION EQUATION
20x%2B5y=30%2A10
4x%2By=60

SIMPLER SYSTEM
system%284x%2By=60%2Cx%2By=30%29

You can eliminate y.
4x%2By-%28x%2By%29=60-30
3x=30
x=30%2F3
highlight%28x=10%29

FINISH, FINDING y
x%2By=30
y=30-x, simple difference.
highlight%28y=20%29


--
Your second question is simple dilution.
One equation using only one variable.

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
As I see, you have about-close-to-zero knowledge on solving mixture problems.

There is entire bunch of 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
in this site.

Read them and become an expert in solution the 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".