SOLUTION: tickets to the prom cosy $60 for seniors and $80 for juniors. A total of $8800 has been collected. A total of 130 students have purchased tickets. Find the number of seniors and ju

Algebra ->  Human-and-algebraic-language -> SOLUTION: tickets to the prom cosy $60 for seniors and $80 for juniors. A total of $8800 has been collected. A total of 130 students have purchased tickets. Find the number of seniors and ju      Log On


   

Question 183823: tickets to the prom cosy $60 for seniors and $80 for juniors. A total of $8800 has been collected. A total of 130 students have purchased tickets. Find the number of seniors and juniors going to the prom.
Answer by halbren(10) About Me  (Show Source):
You can put this solution on YOUR website!
There is a total of 130 students going to the prom
if x represents seniors, then 130-x would represent juniors
Seniors pay $60 and Juniors pay $80 totalling $8800 so
60x+%2B+80%28130-x%29=8800
60x%2B10400-80x=8800
-20x%2B10400=8800
Subtract 10400 from both sides
-20x=-1600
Divide both sides by -20
x=80
So 80 Seniors attended the prom and
130-x=130-80=50 Juniors Attended
Check:
$60(80)+$80(50)=$4800+$4000=$8800 Which is the total collected