Question

The prices of apples in two different shops are shown below.

What is the cost of 24 apples at the cheaper shop?
Give your answer in pounds (£).
Corner shop
Apples £0.40 each.
Buy 2 apples, get
another apple for free.
Supermarket
4 apples for £1.30

Answer 1

The cost of 24 apples at the cheaper corner shop, which offers a deal of buying 2 apples and getting another one for free at £0.40 each, would be £32.00.

Step-by-step explanation:

At the corner shop, apples are priced at £0.40 each, and there's a special deal: buying 2 apples gets you another one for free. This means you effectively pay for 2 apples while receiving 3. To calculate the cost for 24 apples, we can set up the proportion
`\(\frac{\text{cost for 2 apples}}{3} = \frac{\text{total cost}}{24}\).`

Solving for the total cost gives
`\(\text{total cost} = (24)/(3) * \text{cost for 2 apples} = 8 * £0.40 = £3.20\)` . Since you're buying 24 apples, the final cost is
`\(£3.20 * 8 = £32.00\).`

On the other hand, the supermarket offers 4 apples for £1.30. To find the cost of 24 apples, we can set up the proportion
`\(\frac{\text{cost for 4 apples}}{1} = \frac{\text{total cost}}{24}\).` Solving for the total cost gives
`\(\text{total cost} = (24)/(4) * \text{cost for 4 apples} = 6 * £1.30 = £7.80\).`

Therefore, the corner shop is a more cost-effective option for buying 24 apples compared to the supermarket, with a cost of £32.00 versus £7.80.

Answer 2

You can get 24 apples cheaper at the corner shop for 6.4 euros

Step-by-step explanation:

Corner shop

1 apple = 0.4 euros

Since you get one free apple for every two apples, you're getting 3 apples for 0.8 euros.

3 apples = 0.8 euros

Supermarket

4 apples for 1.30 euros

In the corner shop, to get 24 apples you have to pay = 24:3*0.8 = 8*0.8=6.4 euros
In the supermarket, to get 24 apples you have to pay = 24:4*1.30 = 7.8 euros