SOLUTION: The cost to attend a college baseball game is $5 except for students, who are admitted for $1.50. Yesterday�s game was attended by 310 fans and the college collected $1119.50. How

Question 1037965: The cost to attend a college baseball game is $5 except for students, who are admitted for $1.50.
Yesterday�s game was attended by 310 fans and the college collected $1119.50. How many students
attended the game?
Found 2 solutions by addingup, Edwin McCravy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let x be the general public and y be students.
x+y = 310 subtract y from both sides
x = 310-y We'll use this value for x
5x+1.50y = 1119.50
5(310-y)+1.50y = 1119.50
1550-5y+1.50y = 1119.50
-3.50y = -430.50 Divide, and remember -/- = +
y = 123
123 students attended the game

Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!

Let the number of fan tickets sold be x Let the number of students' tickets be y Money Money Type Number from from of of EACH ALL ticket tickets ticket tickets ------------------------------------------- fans' x $5.00 $5.00x students' y $1.50 $1.50y ------------------------------------------- TOTALS 310 ----- $1119.50 The first equation comes from the "Number of tickets" column. x + y = 310 The second equation comes from the "Money from all tickets" column. 5.00x + 1.50y = 1119.50 Get rid of decimals by multiplying every term by 10: 50x + 15y = 11195 So we have the system of equations: . We solve by substitution. Solve the first equation for y: x + y = 310 y = 310 - x Substitute (310 - x) for y in 50x + 15y = 11195 50x + 15(310 - x) = 11195 50x + 4650 - 15x = 11195 35x + 4650 = 11195 35x = 654 x = 187 = the number of fan tickets. Substitute in y = 310 - x y = 310 - (187) y = 123 students' tickets. Checking: 187 fan tickets brought in $9350 and 123 students' tickets brought in $184.50. That's 310 tickets. And indeed $9350 + $184.50 = $1119.50 Edwin

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