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(04.02 mc) visitors to a carnival can buy an unlimited-ride pass for $5…

Question

(04.02 mc)
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. the following system of equations models this scenario:

$50x + 20y = 10,680$
$x + y = 282$

how many unlimited-ride passes were sold?

○ 114
○ 146
○ 168
○ 212

Explanation:

Step1: Solve for y from the second equation

From \( x + y = 282 \), we get \( y = 282 - x \).

Step2: Substitute y into the first equation

Substitute \( y = 282 - x \) into \( 50x + 20y = 10680 \):

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Answer:

168