Question

3 t-shirts and 2 hats costs £14.
2 t-shirts and 7 hats costs £15.
Find the cost of a t-shirt.
Find the cost of a hat.

Answer 1

Answer:

cost of t-shirts = 4 and hats = 1

Step-by-step explanation:

let cost of a t-shirt = x

let cost of a hat = y

given,

3x + 2y = 14 -----(1)

2x + 7y = 15 -----(2)

from (1),

3x + 2y = 14

=> x = (14-2y)/3

putting x in (2),

2(14-2y)/3 + 7y = 15

=> 28 - 4y + 21y = 45

=> 17y = 45-28 = 17

=> y = 1 (hats)

x = (14-2y)/3 = (14-2×1)/3 = 4 (T-shirts)