The cost of renting a house is to be shared equally amongst its occupants. If there are 4 people fing at the house, each of them will pay \( £ 360 \) per month a) Work out a formula for the amount each person will pay per month \( £ C \), in terms of the number a eople living in the house, \( n \) b) If there were 5 people living in the house, how much would each person have io pey per month c) If the amounteach person paid for rent was \( £ 240 \), how many people would be living in the hous

To determine the cost each person pays in terms of the number of occupants, we can set up the following formula: \( C = \frac{Total Cost}{n} \). If each of the 4 occupants pays \( £ 360 \), the total rent is \( £ 360 \times 4 = £ 1440 \). Therefore, the formula becomes \( C = \frac{1440}{n} \). Now, if 5 people move in, we would use the same total rent. Plugging it into our formula gives \( C = \frac{1440}{5} = £ 288 \) per person per month. Lastly, if each occupant pays \( £ 240 \), we can rearrange the formula to find the number of occupants: \( n = \frac{1440}{240} = 6 \). So, there would be 6 people living in the house.