Answer:
321 mL of 78% chlorine solution must be mixed with 156.16 mL of 23% chlorine solution
Step-by-step explanation:
Let
x ----> quantity of 78% chlorine solution in milliliters
y ----> quantity of 23% chlorine solution in milliliters
we know that
The quantity x of 78% chlorine solution mixed with a quantity y of 23% chlorine solution produce 477.16 mL of 60% solution
[tex]78\%=78/100=0.78\\23\%=23/100=0.23\\60\%=60/100=0.60[/tex]
so
[tex]x+y=477.16[/tex] ----> equation A
[tex]0.78x+0.23y=0.60(477.16)[/tex]
[tex]0.78x+0.23y=286.296[/tex] ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (321, 156.16)
therefore
321 mL of 78% chlorine solution must be mixed with 156.16 mL of 23% chlorine solution
