5 t-shirts and a hat costs £27.00

2 t-shirts and a hat costs £12.00.

How much does a t-shirt cost?

How much does a hat cost?

Let say that t-shirt is X and hat is Y

We get: 5X+Y=27.00

2X+Y=12.00

solve for X in the first equation

5X+Y = 27

5X=27-Y

X=27-Y/5

Replace X = 27-Y/5 in equation 1 or 2

I use equation 2:

2*27-Y/5+Y=12

54-2Y/5+Y=12

make the denominator equal

54-2Y/5+5Y/5=12

54+3Y/5=12

Multiply 5 both side

54+3Y = 60

3Y = 60-54

3Y = 6

Y=6/3

Y=2

Replace Y = 2 in equation 1 or 2

I use 2:

2X+2=12

2X=10

X=5

Thus the answer is T-shirt cost : £5 and hat cost : £2