Answer:
Explanation:
Let the cost of one t-shirt = t
And the cost of one sweatshirt = s
Since, Jayden sells 9 t-shirts and 3 sweatshirts for $420,
9t + 3s = 420
3t + s = 140 --------(1)
And Carson sells 1 t-shirt and 6 sweatshirts for $296,
t + 6s = 296 ----------(2)
Equation (1) multiplied by 6 then subtracted from equation (2)
(t + 6s) - 6(3t + s) = 296 - 6(140)
(t - 18t) + (6s - 6s) = 296 - 840
-17t = -544
t = $32
From equation (1),
3(32) + s = 140
s = 140 - 96
s = $44
This solution shows that cost one t-shirt is same for both sellers Carson and Jayden.