Answer:
An egg and cheese biscuit was $3.65.
Step-by-step explanation:
Liam's breakfast was:
[tex] P = E + C + M [/tex]
Where:
P: total price
E: egg
C: cheese biscuit
M: carton of milk
[tex] P = E + C + M [/tex]
[tex] 5.65 = E + C + M [/tex] (1)
Now, Finn's breakfast was:
[tex] P = E + C + 2*M [/tex]
[tex] 7.65 = E + C + 2*M [/tex] (2)
By subtracting equation (2) from (1) we have:
[tex] 7.65 - 5.65 = 2M - M [/tex]
[tex] M = 2 [/tex]
Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:
[tex] 5.65 = E + C + M [/tex]
[tex] 5.65 - 2 = E + C [/tex]
[tex] E + C = 3.65 [/tex]
Therefore, an egg and cheese biscuit was $3.65.
I hope it helps you!