Answer:
Number of Unlimited passes sold were 168.
Step-by-step explanation:
Let Number of Unlimited passes sold be x
and Number of entrance-only passes sold be y.
Total number of passes sold =282
Hence,
[tex]x+y=282 \ \ \ \ equation \ 1[/tex]
Also
Cost for unlimited-ride pass = $50
Cost for entrance-only pass = $20
Total Money for one day = $10,680
Hence,
[tex]\$50x+\$20y=\$10,680\\[/tex]
Dividing by 10 on both side we get;
[tex]5x+2y=1068 \ \ \ \ equation \ 2[/tex]
Now multiplying equation 1 by 2 we get;
[tex]2x+2y=584 \ \ \ \ equation \ 3[/tex]
Now Subtracting equation 3 from equation 2 we get;
[tex](5x+2y=1068)-(2x+2y=584)\\3x=504\\x=\frac{504}{3}= 168[/tex]
x= 168
x+y = 282
168+y =282
y=282-168
y= 114
Hence, Number of Unlimited passes sold are 168 and Number of entrance-only pass sold is 114.
