SOLUTION: A gardener wishes to use a fungicide for his garden. He has 10 litres of 1 % solution of fungicide and what volume of 50% concentrate to the nearest ml would he need to add to his

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Question 1095978: A gardener wishes to use a fungicide for his garden. He has 10 litres of 1 % solution of fungicide and what volume of 50% concentrate to the nearest ml would he need to add to his 10 litres to produce 2% solution of fungicide?
I am totally lost by this question.
I began with....
0.01 x (10 - X) + x Where 0.01 is 1% in decimal form, 10 is the number of litres and x is the volume of concentrate...
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
%280.01%2A10+%2B+0.5%2Ax%29%2F%2810%2Bx%29 = 0.02   (2% concentration; the final liquid volume is (10+x) liters)


Solution:


0.01*10 + 0.5*x = 0.02*(10+x),  ====>  (multiply by 100 both sides for the sake of simplicity)  ====>

10 + 50x = 2*(10+x),

10 + 50x = 20 + 2x,

48x = 20 - 10 = 10  ====>  x = 10%2F48 = 0.2083 liters = 208.3 mL.


Answer.  208.3 mL.

Solved.

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There is entire bunch of introductory 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 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 MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A gardener wishes to use a fungicide for his garden. He has 10 litres of 1 % solution of fungicide and what volume of 50% concentrate to the nearest ml would he need to add to his 10 litres to produce 2% solution of fungicide?
I am totally lost by this question.
I began with....
0.01 x (10 - X) + x Where 0.01 is 1% in decimal form, 10 is the number of litres and x is the volume of concentrate...
No, no!!

With x being the amount of 50% concentrate to add, your equation should be: .01(10) + .5x = .02(10 + x)

Solve this to get the amount in liters. Then convert the liter amount to mL by multiplying it by 1,000.