Question

Mary ordered lunch for herself and several co-workers on Monday and Tuesday. On

Monday, she paid $7 for 5 sandwiches and 4'sodas. On Tuesday, 'she paid $6 for 4 of
each. Find the price of a sandwich and the price of a soda.

Answer 1

Thus, the price of each sandwich is $1 and each soda $0.50.

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:
`5x + 4y = 7`

Tuesday:
`4x + 4y = 6`

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:

`5*1 + 4y = 7`

Now, let's solve the equation with one variable:

`5 + 4y - 5 = 7 - 5`

`4y = 2`

`[tex](4x)/(4) = (2)/(4)` = 2 [/tex]

`y = 0.5`

Thus, the price of each sandwich is $1 and each soda $0.50.

Answer 2

the sandwiches are 1 dollar and soda for 50 cents

Explanation: