Question 854173
let the cost of one shirt and tie be x$ and y$.
Accordingly,
            4x + 3y = 64  ................................... (1)
            5x + 8y = 131 ....................................(2)
from (1),
          x = (64 - 3y)/4
from (2),
          x = (131-8y)/5
therefore,
           64-3y/4 = 131-8y/5
        => 5(64-3y)= 4(131-8y)
        => 320-15y = 524 - 32y
        => 32y-15y = 524 - 320
        => 17y = 204
        => y = 204/17 = 12
Now,
     4x + 3y = 64
  => 4x+4y = 64+y
  => 4(x+y)=64+12
  => x+y = 76/4
therefore, x+y = 19
           Price of one shirt and one tie is : 19$ (Ans.)