The problem involves finding the cost of buying 8 apples, given that it costs £2.20 to buy 5 apples. We can solve this by setting up a proportion based on the cost of apples.
1. Understanding the Proportion:A proportion is a relationship between two ratios that are equal. In this case, we have the cost of 5 apples and the cost of 1 apple. Since the cost of 1 apple is a fraction of the cost of 5 apples, we can set up a proportion.
2. Setting Up the Proportion: We know that £2.20 is the cost of 5 apples. So, the cost of 1 apple would be the total cost divided by the number of apples: £2.20 / 5 = £0.44.
The proportion can be written as:
Cost of 5 apples / 5 = Cost of 1 apple
£2.20 / 5 = £0.44
3. Using the Proportion to Find the Cost:Now that we know the cost of 1 apple is £0.44, we can use this information to find the cost of buying 8 apples. We simply multiply the cost of 1 apple by 8:
Cost of 8 apples = Cost of 1 apple * 8
£0.44 * 8 = £3.52
So, it would cost £3.52 to buy 8 apples based on the given price of £2.20 for 5 apples. This method allows us to calculate the cost of a different quantity of apples by using the proportion established by the initial information.