suppose x litre of 10% solution and y litre of 30% solution are taken to make 10 litre of 15% solution
so,
for solute
x*10% + y*30% = 10*15%
for solvent
x*(100-10)% + y*(100-30)% = 10*(100-15)%
after simplification
0.1*x + 0.3*y = 1.5 equation 1st
0.9x + 0.7*y = 8.5 equation 2nd
30*(equation 2nd) - 70*(equation 1st)
27x - 7x = 85*3 - 15*7
x = (255 - 105)/20
x = 7.5 litre
using equation 1st
0.1 * 7.5 + 0.3*y = 1.5
3y = 7.5
y = 2.5 litre
x = 7.5 litre , y = 2.5 litre (answer)
Get Answers For Free
Most questions answered within 1 hours.