Answer:
pair of jeans = 21
shirt = 30.5
Step-by-step explanation:
Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.
Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.
Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.
5 pair of jeans and 2 shirts for $166. This means:
Equation 1: 5x + 2y = 166
3 pair of jeans and 4 shirts for $164. This means:
2x + 4y = 164
Dividing both sides by 2, we get:
Equation 2: x + 2y = 82
Subtracting Equation 2 from Equation 1, we get:
5x + 2y - (x + 2y) = 166 - 82
5x + 2y - x - 2y = 84
4x = 84
y = 30.5
Using the value of x, in Equation 2, we get:
21 + 2y = 82
2y = 61
y = 30.5
Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.
y represents the cost of sweater, so the cost of each sweater is $ 33.
