7 t-shirts and 5 hats costs £32. 3 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat

Step-by-step explanation:

Let x be the cost of t-shirts

and

y be the cost of hats

Then,

7x + 5y = £32 (i)

And

3x + 4y = £23 (ii)

Now,

Solving (i) and (ii) by Elimination method, we get -

[ 7x + 5y = £32 ] × 4

[ 3x + 4y = £23 ] × 5

= 28x + 20y = £128

15x + 20y = £115

- - -

13x = £13

x = £13/13

Now, substituting the value of x on equation (i)

= 7(£1) + 5y = £32

= £7 + 5y = £32

= 5y = £32 - £7

= 5y = £25

y = £25/5

Hence,

The cost of t-shirt is £1

and

the cost of hats is £5.