Question

6 cups of tea and 4 cakes cost £13.20

5 cups of tea and 4 cakes cost £12.00
Is £10 enough to buy 3 cups of tea and 4 cakes?
Yes
No
Pls it’s for a test

Answer 1

yes

Explanation:

tea is 1.20 a piece and cake is 1.50

1.50×4=6

1.20×3=3.60

6+3.60=9.60

Answer 2

Let the price of tea = x

Price of cake = y

`6x + 4y = 13.20 \\ 5x + 4y = 12 \\ (6x + 4y) - (5x + 4y) = 13.20 - 12 \\ x = 1.20`

Price of one tea = 1.20

`5x + 4y = 12 \\ (5 * 1.20) + 4y = 12 \\ 6 + 4y = 12 \\ 4y = 12 - 6\\ 4y = 6 \\ y = (6)/(4) \\ \\ y = 1.5`

Price of one cake = 1.5

Price of 3 cups of tea and 4 cakes = (3×1.20 )+(4×1.5)

= 3.60 + 6

= 9.60

£10 is enough to buy 3 cups of tea and 4 cakes

... Hope this will help...