whts the anwser
The Kesling Middle School PTA is planning a carnival to raise money for the school’s art department. They estimate that the event will be very popular and that they will have 500 people attend. They plan to charge adults $10 and children $5 for admission. The PTA wants to earn $3,500 from admission charges. How many adults and how many children need to attend for the PTA to reach their goal of $3,500?(1 point)
adults;
childre
Let's say the number of adults is represented by "x" and the number of children is represented by "y".
From the given information, we can set up the following equations:
1. Number of adults attending: x
2. Number of children attending: y
The total number of people attending is given as 500:
3. x + y = 500
The amount of money earned from adults is $10 per adult:
4. 10x
The amount of money earned from children is $5 per child:
5. 5y
The total amount of money earned from admission charges is given as $3,500:
6. 10x + 5y = 3500
To solve this system of equations, we can use substitution or elimination method.
Let's use the substitution method to solve the equations:
From equation 3, we have:
x = 500 - y
Substituting this into equation 6, we have:
10(500 - y) + 5y = 3500
5000 - 10y + 5y = 3500
-5y = 3500 - 5000
-5y = -1500
y = -1500 / -5
y = 300
Substituting the value of y back into equation 3:
x + 300 = 500
x = 500 - 300
x = 200
Therefore, the number of adults attending the carnival is 200 and the number of children attending is 300.