Answer:
Thus, the price of each sandwich is $1 and each soda $0.50.
Step-by-step explanation:
Let:
x: price of sandwiches
y: price of sodas
Now, write the equations for the amount that Mary paid on Monday and Tuesday for sandwiches & sodas:
Monday: [tex]5x + 4y = 7[/tex]
Tuesday:[tex]4x + 4y = 6[/tex]
When adding Tuesday equation from Monday equation, we found that x = 1. This value can be substituted into one of the equations. By substituting into Monday equation:
[tex]5*1 + 4y = 7[/tex]
Now, let's solve the equation with one variable:
[tex]5 + 4y - 5 = 7 - 5 [/tex]
[tex] 4y = 2 [/tex]
[tex] [tex]\frac{4x}{4} = \frac{2}{4}[/tex] = 2 [/tex]
[tex] y = 0.5 [/tex]
Thus, the price of each sandwich is $1 and each soda $0.50.
