SOLUTION: There are 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students

Question 539596: There are 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Adults x numbers , Price = $4.00
children y numbers , Price = $2.50
Total 13000
1 x + 1 y = 155 .............1
4 x + 2.5 y = 492.5 .............2
Eliminate y
multiply (1)by -2.5
Multiply (2) by 1
-2.5 x -2.5 y = -387.5
4 x + 2.5 y = 492.5
Add the two equations
1.5 x = 105
/ 1.5
x = 70
plug value of x in (1)
1 x + 1 y = 155
70 + 1 y = 155
1 y = 155 -70
1 y = 85
y = 85
Adults ----70
children --- 85
m.ananth@hotmail.ca

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of students attending
= number of adults attending
given:
(1)
(2)
---------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
85 students attended
70 adults attended
(2)
(2)
(2)
OK
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