Question

4 t shirts and a hat costs £31
2 t shirts and a hat costs £17
how much does a t shirt cost?
how much does a hat cost?

Answer 1

Answer:

t shirt = £7

hat = £3

Step-by-step explanation:

£31 - £17 = £14

2 t shirts cost £14 so 1 t shirt costs £7

now we know 2 t shirts cost £14 so £17 - £14 = £3

a hat costs £3

Answer 2

Answer:

$\large\boxed{1 t-shirt=7}$

$\large\boxed{1 hat=3}$

Step-by-step explanation:

Method:

To work this out we would first need to find the difference between the contents of those two prices. in this case, it is 2 t-shirts.

Now that we know the difference in the contents of both of them is 2 t-shirts, we can work out the value of 2 t-shirts. We can do this by subtracting the value of 17 from 31, this gives us 14. This means that the price of 2 t-shirts= £14.

The next step is to work out the value of one t-shirt. We can do this by dividing the price of 14 by 2, this gives us £7. This is because the price of 2 t-shirts can be represted by $2t$ and so to work out the value of t we would need to divide $2t$ by 2.

Now that we know the price of 1 t-shirt is £7, we can now work out the price of 1 hat. To do this we would subtract the price of 2 t-shirts, which is £14, from the end price of £17, this gives us £3. This means that the price of a hat is £3.

Step by Step:

1) Find the difference between the contents.

2 T-shirts

2) Subtract 17 from 31.

$31-17=14$

3)  Divide 14 by 2.

$14/2=7$

4) Subtract 14 from 17.

$17-14=3$