Question

Andrea is buying some new shirts and sweaters. She is Able to buy three shirts and two sweaters for $113 or she is able to buy T-shirts and four sweaters for 166 how many dollars does a shirt cost how many dollars does a sweater cost

Answer 1

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:       3x + 2y = 113

She was able to buy p shirts and 4 sweaters for $166. This means:

                      2x + 4y = 166

Dividing both sides by 2, we get:

                  Equation 2:    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.