Question

Solving Systems of Equations Algebraically

Question 8

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?

a) 114

b) 146

c) 168

d) 212

Answer 1

Answer:

(a) 114

Step-by-step explanation:

Let assume that:

"x" visitors bought the unlimited-ride passes for amount of 50x dollars

and "y" visitors bought the entrance-only passes for amount of 20y dollars.

$\left \{ {{x+y=282} \atop {50x+20y=10680}} \right.$

x = 282 - y

50(282 - y) + 20y = 10,680

14,100 - 50y + 20y = 10,680

30y = 3,420

y = 114 unlimited-ride passes were sold.