Question

the cost of 1 cup of tea and 5 cakes is £11 the cost of 1 cup of tea and 3 cakes is £7 a) how much does 2 cakes cost b) how much does 1 cake cost

Answer 1

The cost of 2 cakes is £4 and the cost of 1 cake is £2.

Step-by-step explanation:

To solve this problem, let's assign variables to the unknown quantities. Let's say the cost of 1 cup of tea is 'T' and the cost of 1 cake is 'C'.

From the given information, we have the equation:

T + 5C = 11

And:

T + 3C = 7

To find the cost of 2 cakes (2C) and 1 cake (C), we can use algebraic methods. Subtracting the second equation from the first equation, we get:

(T + 5C) - (T + 3C) = 11 - 7

2C = 4

Dividing both sides of the equation by 2, we find that 1 cake (C) costs £2. Therefore, 2 cakes (2C) would cost £4.