The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
Solution:
Let "s" be the price of 1 shirt
Let "h" be the price of 1 hat
Given that Jones buys 7 t-shirts and 6 hats for $86
Therefore, we can frame a equation as:
price of 1 shirt x 7 + price of 1 hat x 6 = 86
7s + 6h = 86 ------ eqn 1
Also given that The price of each t shirt is $3 more than the price of each hat
price of 1 shirt = 3 + price of 1 hat
s = 3 + h -------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
7( 3 + h ) + 6h = 86
21 + 7h + 6h = 86
21 + 13h = 86
13h = 86 - 21
13h = 65
h = 5
From eqn 2,
s = 3 + h = 3 + 5 = 8
s = 8
Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8