2w^2-11w+12=0 solve using Quadratic
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James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.
Let the acid solution needs to mix with 10% be <em>x</em> ml and the acid solution needs to mix with 50% will be 100 - <em>x</em> ml.
Now,
10% x + 50% ( 100 - <em>x</em> ) = 26% ×100
⇒
⇒10<em>x</em> + 50( 100 - <em>x</em> ) = 2600
⇒10 <em>x</em> + 5000 - 50<em>x</em> = 2600
⇒10 <em>x</em> - 50 <em>x</em> = 2600-5000
⇒-40 <em>x</em> = -2400
⇒<em>x</em>=60
Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
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