In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie. a) $2.50 b) $3.50 c) $4.50
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Let the cost of shirt be x
And, cost of tie be y
Thus, 6x + 3y = 79.50 ….1
3x + 2y = 41 …..2
Using Substituting method:
From equation 1
6x = 79.50 - 3y
x = (79.50 - 3y)/6
Now, putting value of x in equation 2, we get
3(79.50 -3y)/6 + 2y = 41
(79.50 -3y)/2 + 2y = 41
79.50 - 3y + 4y = 82
y = 82 - 79.50
y = 2.50
Thus, cost of each tie is $2.50