Visitors to a carnival can buy an unlimited-ride pass for $50 or an entrance-only pass for $20. In one day, 282 passes were sold for a total of $10,680. How many unlimited-ride passes were sold?

A114
B146
C168
D212

Verified Answer :

the answer is C. 168 unlimited-ride passes were sold

u+e=282
50u+20e=10,680
______________
-20u-20e=-5640    need to multiply first equation by -20 to eliminate 20
5u+20e=10,680
_____________
30u+0= 5040  
30u=5040 now divide by 30
u=5040/30
u=168

Its C. 282-168=114
114x20=2,280
50x168=8,400
8,400+2,280=10,680