SOLUTION: There were 200 tickets sold for an inter-highs school singing contest. Students ticket cost 20 each wile faculty cost 50 each. The receipts totaled 5200. How many of each type of t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: There were 200 tickets sold for an inter-highs school singing contest. Students ticket cost 20 each wile faculty cost 50 each. The receipts totaled 5200. How many of each type of t      Log On


   

Question 837702: There were 200 tickets sold for an inter-highs school singing contest. Students ticket cost 20 each wile faculty cost 50 each. The receipts totaled 5200. How many of each type of ticket sold?
Answer by jhunjiro(67) About Me  (Show Source):
You can put this solution on YOUR website!
x = student ticket
y = Faculty ticket
Equations from the Problem
x%2By=200 eq.1
20x%2B50y=5200 eq.2
substitution method:
x=200-y eq.3
substitute eq.3 to eq. 2
20%28200-y%29%2B50y=5200
4000-20y%2B50y=5200
30y=5200-4000
30y=1200
30y%2F30=1200%2F30
.
highlight+%28y=40%29
substitute the value of y to eq.3
x=200-40
.
highlight+%28x=160%29