Question

4 t-shirts and a hat costs £31.00

2 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost?

Answer 1

t- shirt cost £7, hat cost £3

Explanation:

let t represent cost of t- shirt and h represent cost of hat , then

4t + h = 31 → (1)

2t + h = 17 → (2)

Subtract (2) from (1) term by term to eliminate h

(4t - 2t) + (h - h) = 31 - 17 , that is

2t = 14 ( divide both sides by 2 )

t = 7

Substitute t = 7 into either of the 2 equations and solve for h

Substituting into (1)

4(7) + h = 31

28 + h = 31 ( subtract 28 from both sides )

h = 3

t- shirt cost £7 and hat cost £3