Question

Three T-shirts and four dresses cost $125. Two T-shirts and three dresses cost $90. How much does one dress cost, and how much does one T-shirt cost?

Answer 1

Step-by-step explanation:

let the no. of tshirt be x and dresses be y

therefore 3x+4y=$125___________1.

2x+3y=$90______________2.

3x+4y=$125

x=(125-4y)/3________3.

putting 3. in 2.

2x+3y=$90

2(125-4y/3)+3y=90

250-8y/3+3y=90

taking 3 as the lcm

250-8y+9y/3=90

250+y=270

y=20

x=(125-4y)/3

x=125-4(20)/3

×=45/3

x=15

therefore cost of 1 tshirt is $15 & cost of 1 dress is $20

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