Question

Alice makes pale blue paint by mixing blue paint and white paint in the ratio 4:5. The blue paint costs £7.80 per litre. The white paint costs £4.20 per litre. Alice sells her pale blue paint in 3-litre tins for £23 per tin. Work out how much profit Alice will make if she sells 5 tins.

a) £28.50
b) £32.50
c) £36.50
d) £40.50

Answer 1

To find out how much profit Alice will make if she sells 5 tins of pale blue paint, we need to calculate the cost of producing the paint and subtract it from the total revenue. The answer cannot be determined with the information given.

Step-by-step explanation:

To find out how much profit Alice will make if she sells 5 tins of pale blue paint, we need to calculate the cost of producing the paint and subtract it from the total revenue.

First, let's calculate the cost of producing 3 liters of pale blue paint. The ratio of blue paint to white paint is 4:5, so for every 4 liters of blue paint, we need 5 liters of white paint. Let's assume we use x liters of blue paint, then the amount of white paint used would be (5/4)x liters.

The cost of blue paint is £7.80 per liter, so the cost of x liters of blue paint would be £7.80x. Similarly, the cost of white paint is £4.20 per liter, so the cost of (5/4)x liters of white paint would be £4.20(5/4)x.

Therefore, the total cost of producing 3 liters of pale blue paint would be £7.80x + £4.20(5/4)x = £7.80x + £5.25x = £13.05x.

Now, let's calculate the total cost of producing 5 tins of pale blue paint. Since each tin contains 3 liters of paint, the total cost would be 5 * £13.05x = £65.25x.

The selling price of each tin is £23, so the total revenue from selling 5 tins would be 5 * £23 = £115.

Finally, to find the profit, we subtract the total cost from the total revenue: £115 - £65.25x.

Since we don't have the value of x, we can't calculate the exact profit. Therefore, the answer would be none of the given options.