Answer:
y = 28.75
x = 26.5
Step-by-step explanation:
I think the amount of the second T-shirts purchased should be 2
Let the cost of each shirt be $ x, and the cost of each sweater be $ y.
Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.
Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.
Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:
Cost of 3 shirts + Cost of 2 sweaters = 113
Equation 1: <u>3x + 2y = 113 </u>
She was able to buy <em>p</em> shirts and 4 sweaters for $166. This means:
<em> 2</em>x + 4y = 166
Dividing both sides by 2, we get:
<em> </em> Equation 2:<em> </em>x + 2y = 84
Subtracting Equation 1 from Equation 2, we get:
x + 2y - (3x + 2y) = 166 - 113
x + 2y - 3x - 2y = 53
2x = 53
x = 26.5
Using the value of x, in Equation 2, we get:
26.5 + 2y = 84
2y = 57.5
y = 28.75
Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.
y represents the cost of sweater, so the cost of each sweater is $ 28.75.
