Question

Sonji went to a sandwich shop for lunch with 8 of her friends. Part of the group ordered only a sandwich for $5, and the rest of the group ordered a combo for $8. The bill for all 9 people totaled $66.00. Which system of equations represents the number of meals of each type that Sonji and her friends purchased?
x + y = 9. 5 x + 8 y = 66.
x + y = 66. 8 x + 5 y = 9.
x + y = 66. 5 x + 8 y = 9.
x + y = 9. 5 x minus 8 y = 66.

Answer 1

To define the problem using a system of equations, let's assign variables to represent the two types of meals:

- Let \( x \) be the number of sandwiches ordered (each costing $5).
- Let \( y \) be the number of combo meals ordered (each costing $8).

From the information provided, we can establish a couple of equations:

1. The total number of meals ordered by the group of 9 people is given by:
\[
x + y = 9
\]

2. The total cost of the meals is $66. Therefore, we can represent the total cost with the equation:
\[
5x + 8y = 66
\]

Based on these explanations, the correct system of equations that represents the situation is:
\[
\begin{align*}
x + y &= 9 \\
5x + 8y &= 66
\end{align*}
\]

Thus, the correct option is:
**\( x + y = 9 \) and \( 5x + 8y = 66 \)**.