Answer:
One hat costs £3 and one t-shirt cost's £10
Step-by-step explanation:
Let's call the t-shirts "t" and the hats "h". We know that 9 t-shirts and a hat costs £93 4 t-shirts and a hat costs £43 so we can set up some equations to find the cost of one hat and one t-shirt. We will use simultaneous equations to find the value of one hat and one t-shirt
1) 9t + h = 93
2) 4t + h = 43
→ We need to solve these equations so we subtract 2) from 1)
5t = 50
→ Divide both sides by 5 to isolate t
t = 10
→ We know that one t-shirt costs £10 so we can substitute this back into 1)
( 9 × 10 ) + h = 93
90 + h = 93
→ Minus 90 from both sides to isolate h
h = 3
→ Now we know what one hat costs £3 and one t-shirt cost's £10
