Question

The cost of buying a coffee and a tea in a cafe is £4.

The cost of buying a coffee and three teas in a cafe is £7.

Work out the cost of buying a coffee and the cost of buying a tea.

Answer 1

Coffee cost: £ 2.50

Tea cost: £ 1.50

Explanation:

Let C represent coffee and T represent tea. We have equations

C + T = 4

C + 3T = 7

We time the first equation by -1 and solve the price of tea!

-C - T = -4

C + 3T = 7

2T = 3

T = £1.50

Now we put 1.50 back in the equation to solve for the cost of a coffee!

C + 1.50 = 4

C = £ 2.50

So, the cost of a coffee is £ 2.50, and the price of a tea is £ 1.50