Question

2 teas and 3 coffees have a total cost of £6.90
4 teas and 7 coffees have a total cost of £15.30
Work out the cost of one tea and the cost of one coffee.​

Answer 1

Answer:

1 tea:  £1.20

1 coffee: £1.50

Step-by-step explanation:

Let's t represent teas and c represent coffees; we have the equations

2t + 3c = 6.90

4t + 7c = 15.30

We multiply the first equation by -2

-4t - 6c = -13.80

4t + 7c = 15.30

c = £1.50

Now we put 1.50 in for c and find the price for one tea.

2t + 3(1.50) = 6.90

2t + 4.5 = 6.90

2t = 2.4

t = £1.20