120 people attended the baseball game. Adults cost $6 and students cost $4 to attend the game. The game raised $600 from the attendance. How many students attended the game?
A + S=120
6A +4S = 600
Use substitution A= 120-S
6(120-S) + 4s = 600
720 -6S + 4S = 600
720 -2S = 600
Can you finish from here?
a = numbers of adults
s = number of students
120 people attended the baseball game mean:
a + s = 120
Adults cost $6 and students cost $4 to attend the game.
The game raised $600 from the attendance mean:
a * &6 + s * $4 = $600
OR
6 a + 4 s = 600
Now you must solwe system:
a + s = 120
6 a + 4 s = 600
Try to solve this system.
The solutions are:
a = 60 , s = 60
Proof:
a + s = 60 + 60 = 120
6 a + 4 s = 6 * 60 + 4 * 60 = 360 + 240 = 600
To find the number of students who attended the game, we need to set up an equation based on the given information. Let's denote the number of adults as "A" and the number of students as "S".
From the given information, we know that there were 120 people in total who attended the game. So, we can write the equation:
A + S = 120
We are also told that adults cost $6 to attend the game and students cost $4. The total amount raised from the attendance was $600. We can now set up another equation based on this information:
6A + 4S = 600
Now, we have a system of two equations:
A + S = 120
6A + 4S = 600
We can solve this system of equations using substitution or elimination methods. For this example, let's use the elimination method.
To eliminate variable A, we can multiply the first equation by -6 and the second equation by 1:
-6(A + S) = -6(120) => -6A - 6S = -720
6A + 4S = 600
Now, add the two equations together:
(-6A - 6S) + (6A + 4S) = -720 + 600
-2S = -120
Divide both sides by -2:
-2S / -2 = -120 / -2
S = 60
So, the number of students who attended the game is 60.