Question

9 t-shirts and a hat costs £93 4 t-shirts and a hat costs £43 how much does the hat and t-shirt cost

Answer 1

One hat costs £3 and one t-shirt cost's £10

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

Answer 2

T-shirt costs £10

Hat costs £3

Explanation:

£93-£43=£50

9-4=5

£50/5=10

1 t-shirt=£10

£10x9=£90

£93-£90=£3

T-shirt = £10

Hat= £3