Question

The Math Club had a lunch meeting where the attendees had the option to order either a hamburger for $2.50 or chicken strips for $3.25. The total bill for 25 lunches was $74.50, and the system of equations below represents this situation:

2.50x + 3.25y = 74.50
x + y = ?

How many hamburgers were ordered for lunch?

Answer 1

To find the number of hamburgers ordered for lunch, we can solve the system of equations using substitution. The number of hamburgers ordered for lunch is 9.

Step-by-step explanation:

To find the number of hamburgers ordered for lunch, we need to solve the system of equations. The system of equations are:

2.50x + 3.25y = 74.50 (equation 1)

x + y = 25 (equation 2)

To solve the system, we can use substitution. Rearrange equation 2 to solve for x: x = 25 - y. Now, substitute this value of x into equation 1:

2.50(25 - y) + 3.25y = 74.50

Simplify:

62.50 - 2.50y + 3.25y = 74.50

Combine like terms:

0.75y = 12

Divide both sides by 0.75:

y = 16

Now substitute this value of y into equation 2 to find x:

x + 16 = 25

Subtract 16 from both sides:

x = 9

Therefore, 9 hamburgers were ordered for lunch.