Answer:
The price of a sandwich is £2.5 and the price of a croissant is £2
Explanation:
Let s be the number of sandwiches and c be the number of croissants
Then according to given statements the equations will be:
![2s+3c = 11\ \ \ \ \ \ \ Eqn\ 1\\3s+6c =19.50\ \ \ Eqn\ 2](https://img.qammunity.org/2022/formulas/mathematics/college/sgonpj1zsrq32kr01nr1rk0eoht2tk92pu.png)
Multiplying equation 1 by 2 and subtracting equation 2 from the new equation
![2(2s+3c) = 11*2\\4s+6c = 22](https://img.qammunity.org/2022/formulas/mathematics/college/dw3xu9dgxmz65eckotlrgsccbkfm2xd5ue.png)
Now
![4s+6c-(3s+6c) = 22-19.50\\4s+6c-3s-6c = 2.5\\s = 2.5](https://img.qammunity.org/2022/formulas/mathematics/college/iamvm8cpf0z5nu2bksrjgp0m6p92uaerny.png)
Putting s=2.5 in equation 1
![2(2.5)+3c = 11\\5+3c = 11\\3c = 11-5\\3c = 6\\(3c)/(3) = (6)/(3)\\c = 2](https://img.qammunity.org/2022/formulas/mathematics/college/4sk99d1zfywavb6zk8r7068t05ia9icvok.png)
Hence,
The price of a sandwich is £2.5 and the price of a croissant is £2