SOLUTION: four shirts and three ties cost $64. five shirts and eight ties cost $131. what is the price of one shirt and one tie

Question 854173: four shirts and three ties cost $64. five shirts and eight ties cost $131. what is the price of one shirt and one tie
Answer by aditya2117(32) (Show Source): You can put this solution on YOUR website!
let the cost of one shirt and tie be x$ 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.)
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