Solve Problems Involving Addition, Subtraction, Multiplication and Division 5 - Reasoning

To solve the problem involving addition, subtraction, multiplication, and division, we are given two key pieces of information regarding the cost of bicycles and skateboards. Firstly, we know that the combined cost of one bicycle and one skateboard is £365. Secondly, we are told that the total cost of five bicycles and one skateboard is £1,341. Our objective is to determine the individual cost of a bicycle.

We can represent the cost of one bicycle as 'B' and the cost of one skateboard as 'S'. The equation for the combined cost of one bicycle and one skateboard is B + S = £365. The equation for the total cost of five bicycles and one skateboard is 5B + S = £1,341. By subtracting the first equation from the second, we eliminate 'S' and get 4B = £1,341 - £365 = £976. Dividing both sides of this equation by 4 gives us the cost of one bicycle: B = £976 ÷ 4 = £244. Therefore, a single bicycle costs £244.