The math club had a lunch meeting where the attendees ordered either a hamburger for $2.50 or chicken strips for $3.25. The bill for the 25 lunches was $74.50. The system of equations below represents this situation.
2.50x + 3.25y = 74.50
---------------------
x + y = 25
How many hamburgers were ordered for lunch?
-9
-13
-16<---?
-22
Lemme see
9 + 16 = 25 sure enough
2.5 * 9 + 3.25 * 16 = 74.5
which you could have done.
If you are stuck, ask for help. If you need an answer checked, first check it.
Nope. 16 chicken strips.
Better review your work.
Ah, so it's A, 9?
I still don't know the answer to this. Was the answer 16? I thought it was 9;.
The answer is 9.
If the hamburgers are $2.50, and the chicken strips $3.25, then,
$2.50 * 9 + $3.25 * 16 = $74.50
To solve this problem, we need to find the value of x, which represents the number of hamburgers ordered for lunch.
We have a system of equations:
1) 2.50x + 3.25y = 74.50
2) x + y = 25
To start, let's solve equation 2 for x. We can do this by subtracting y from both sides:
x = 25 - y
Now we can substitute this expression for x into equation 1:
2.50(25 - y) + 3.25y = 74.50
Distribute 2.50 to both terms inside the parentheses:
62.50 - 2.50y + 3.25y = 74.50
Combine like terms:
0.75y = 12
Now we can solve for y by dividing both sides of the equation by 0.75:
y = 16
Therefore, 16 chicken strips were ordered for lunch.
To find the number of hamburgers, substitute y back into equation 2:
x + 16 = 25
Subtract 16 from both sides:
x = 9
Therefore, 9 hamburgers were ordered for lunch.
So the correct answer is 9.