Problema Solution
6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41.00. What is the cost of each shirt and each tie?
Answer provided by our tutors
s = shirt cost
t = tie cost
6s + 3t = 79.50
3s + 2t = 41.00
In matrix form: 6 3 | 79.50 0 -1 | -2.50
3 2 | 41.00 -2r2 + r1 = r1 => 3 2 | 41.00
So -s = -2.50 => t = $2.50
3s + 2t = 41.00 => 3s + 2(2.50) = 41 => 3s + 5 = 41 => 3s = 36 => s = $12.00
Shirts cost $12.00 each and ties cost $2.50 each.