Let's represent the number of adults as "a" and the number of children as "c".
From the given information, we can create the following equations:
a + c = 500 (Total number of people attending)
10a + 5c = 3500 (Total revenue from admission charges)
Now, we can solve these two equations simultaneously to find the values of "a" and "c".
From the first equation:
a = 500 - c
Substitute this expression for "a" into the second equation:
10(500 - c) + 5c = 3500
5000 - 10c + 5c = 3500
-5c = -1500
c = 300
Now that we know there are 300 children attending, we can find the number of adults:
a = 500 - 300
a = 200
Therefore, the PTA needs 200 adults and 300 children to attend in order to reach their goal of $3,500.
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; children
1 answer
1 answer