Question

9 t-shirts and a hat costs £93.00

4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answer 1

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]