.
Let x be the amount (the volume in mL) of the 10% solution.
Then the amount of the 1% solution is (15-x) mL.
The balance equation is
0.1*x + 0.01*(15-x) = 0.02*15.
Multiply by 100 both sides and simplify:
10x + 15-x = 30 ====> 9x = 30-15 = 15 ====> x = = = 1.666 mL.
Answer. 1.666 mL of the 10% solution and 15 - 1.666 = 13.333 mL of the 1% solution.
Check. 1.666*0.1 + 13.333*0.01 = 0.3 = 0.02*15 mL ! Correct !
-------------
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.