Jayden and Carson are selling T-Shirts and sweatshirts with the school logo. Jayden sells 9 T-Shirts and 3 sweatshirts for 288$. Carson sells 1 T-Shirt and 6 sweatshirts for 270$. Find the selling prices of each item

cost of T-shirts = $18

cost of sweatshirt = $42

Step-by-step 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

multiply then divide

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