Question 3 (Multiple Choice Worth 1 points)
( 05.03 MC )
Visitors to a carnival can buy an unlimited-ride pass for or an entrance-only pass for . In one day, 282 passes were sold for a total of . The following system of equations
models this scenario:

How many unlimited-ride passes were sold?

Ask by Medina Johnston. in the United States

Jan 24,2025

Question

Question 3 (Multiple Choice Worth 1 points)
( 05.03 MC )
Visitors to a carnival can buy an unlimited-ride pass for or an entrance-only pass for . In one day, 282 passes were sold for a total of . The following system of equations
models this scenario:

How many unlimited-ride passes were sold?

Ask by Medina Johnston. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

To determine the number of unlimited-ride passes sold, we can solve the system of equations:

$$
\begin{cases}
50x + 20y = 10,680 \
x + y = 282
\end{cases}
$$

1. **Express $$ y $$ in terms of $$ x $$ from the second equation:**
   $$
   y = 282 - x
   $$

2. **Substitute $$ y = 282 - x $$ into the first equation:**
   $$
   50x + 20(282 - x) = 10,680
   $$
   $$
   50x + 5,640 - 20x = 10,680
   $$
   $$
   30x + 5,640 = 10,680
   $$
   $$
   30x = 10,680 - 5,640
   $$
   $$
   30x = 5,040
   $$
   $$
   x = \frac{5,040}{30} = 168
   $$

**Answer:** 168
168 unlimited-ride passes were sold.

Question 3 (Multiple Choice Worth 1 points)
( 05.03 MC )
Visitors to a carnival can buy an unlimited-ride pass for or an entrance-only pass for . In one day, 282 passes were sold for a total of . The following system of equations
models this scenario:

How many unlimited-ride passes were sold?

Upstudy AI Solution

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Question 3 (Multiple Choice Worth 1 points) ( 05.03 MC ) Visitors to a carnival can buy an unlimited-ride pass for or an entrance-only pass for . In one day, 282 passes were sold for a total of . The following system of equations models this scenario: How many unlimited-ride passes were sold?

Upstudy AI Solution

Answer

Solution

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Question 3 (Multiple Choice Worth 1 points)
( 05.03 MC )
Visitors to a carnival can buy an unlimited-ride pass for or an entrance-only pass for . In one day, 282 passes were sold for a total of . The following system of equations
models this scenario:

How many unlimited-ride passes were sold?