Answer: cost of T-shirts = $18
cost of sweatshirt = $42
Explanation:
Let the cost of T-shirts be x
Let the cost of sweatshirt be y
The information given in the question can be used to form an equation that'll be:
9x + 3y = 288 ...... i
1x + 6y = 270 ........ ii
Multiply equation i by 1
Multiply equation ii by 9
9x + 3y = 288 ....... iii
9x + 54y = 2430 ..... iv
Subtract iii from iv
51y = 2142
y = 2142 / 51
y = 42
The cost of a sweatshirt is $42
Since Carson sells 1 T-Shirt and 6 sweatshirts for 270$. The cost of a t-shirt will be:
= 270 - 6(42)
= 270 - 252
= $18