7)The admission fee at an agricultural fair is 2.50 for children and 6.00 for adults. On a certain day, 6200 people enter the fair and 29500 is collected. How many children and how manv adults attended? Write a linear system to model this situation

Question

7)The admission fee at an agricultural fair is 2.50 for children and 6.00 for adults. On a certain day, 6200 people enter the fair and 29500 is collected. How many children and how manv adults attended? Write a linear system to model this situation

Answer 1

### 2200 children and 4000 adults attended.

Answer 2

## Step 1: Define Variables### Let 'c' represent the number of children and 'a' represent the number of adults.## Step 2: Set up the Equations### Based on the problem, we can set up two equations:###

(Total number of people)###

(Total money collected)## Step 3: Solve for One Variable### Multiply the first equation by -2.5:

### Add this modified equation to the second equation:###

### This simplifies to

### Divide both sides by 3.5:

## Step 4: Solve for the Other Variable### Substitute the value of 'a' (4000) back into the first equation:###

### Subtract 4000 from both sides:

Question

7)The admission fee at an agricultural fair is 2.50 for children and 6.00 for adults. On a certain day, 6200 people enter the fair and 29500 is collected. How many children and how manv adults attended? Write a linear system to model this situation

Solution

Answer

Explanation