Answer:
$15 And $10
Step-by-step explanation:
Let T-shirt’s be x and pants be y.
Firstly 5 T-shirts plus 3 pairs of pants cost $105
That’s
5x + 3y = 105
The next day 4 T-shirts and 2 pairs of pants cost $80.
That’s
4x + 2y = 80
Thus we have
5x + 3y = 105
4x + 2y = 80
Multiply equation one by 4 and equation two by 5
We have
20x + 12y = 420
20x + 10y = 400
Subtract equation 2 from 1
We’re left with
2y = 20
Divide both sides by 2
y = 20/2
y = 10
Now substitute 10 for y into any of the equations to get x.
Using equation one
We have
5x + 3 x 10 = 105
5x + 30 = 105
Subtract 30 from both sides
5x + 30 - 30 = 105 - 30
5x = 75
Divide both sides by 5
x = 75/5
= 15
Therefore each T-shirt cost $15 and each pant costs $10
