What is the cost of 2 tead and a bun

Question

A tea and 2 buns costs £3. 2 teas and 3 buns costs £5.10. What is the cost of 2 teas and a bun

Answer 1

We will solve this using a system of equations:

T + 2B = 3.2 Multiply this by 2 to cancel out the T's.

2 T + 3B = 5.10

2 T + 3B = 5.10

-2 T + 4B = 6.4

_____________

-B = -1.3

B = 1.3 Substiute B back into an equation.

2 T + 3B = 5.10

2T + 3(1.3) = 5.10

2T = 1.2

T = 0.6