Answer:
5 ounces of each chemical
Step-by-step explanation:
Let 'x' ounces of 10% chemical be mixed to the solution.
Given:
Ounces of 10% chemical = 'x'
Total ounces in the solution to make = 10
Therefore, the ounces of 40% chemical = [tex]10 - x[/tex]
Now, Content of chemical in the first mixture = [tex]10\%\ of\ x = 0.1x[/tex]
Content of chemical in the second mixture = [tex]40\%\ of\ (10-x) = 0.4(10-x)[/tex]
Now, total volume of the chemical in the solution is 25% of 10 = 0.25(10). So,
Total volume = Volume of chemical in first mixture + second mixture
[tex]0.25(10)=0.1x+0.4(10-x)\\\\2.5=0.1x+4-0.4x\\\\2.5-4=-0.3x\\\\-1.5=-0.3x\\\\x=\frac{-1.5}{-0.3}=5\ oz[/tex]
Therefore, volume of 10% chemical is [tex]x=5\ oz[/tex]
Volume of 40% chemical is [tex]10-x=10-5=5\ oz[/tex]
Hence, 5 ounces of each chemical is needed to make 10 ounces of solution.
