Question 154253
x=amount of 40%
y=amount of 65%
coefficient=percentage


40x+65y=55(x+y)
x+y=100


Plug 100 in for x+y
40x+65y=55(100)


Solve for y
y=100-x


Plug that in for y
40x+65(100-x)=55(100)
40x+6500-65x=5500


Combine like terms
-25x+6500=5500


Subtract 6500 from both sides
-25x=-1000


Divide both sides by -25
x=40


40+y=100
y=60


40L=amount of 40%
60L=amount of 65%