Let x be the number of adults attending and y be the number of children attending.
The total number of people attending is given as 500:
x + y = 500
The total amount earned from adults and children attending is given as $10x + $5y:
$10x + $5y = $3500
Solving the system of equations:
1) x + y = 500
2) $10x + $5y = $3500
Multiply equation 1 by 5:
5x + 5y = 2500
Subtract this equation from equation 2:
$5x = $1000
x = 200
Substitute x = 200 back into equation 1:
200 + y = 500
y = 300
Therefore, 200 adults and 300 children need to attend for the PTA to reach their goal of $3500.
The Kensley middle school PTA is planning a carnival to raise money for the schools are department the estimate that the event will be very popular and that they will have 500 people attend. They plan to charge adults $10 and children five dollars for admission the PTA wants to earn $3500 from admission charges, how many adults and how many children need to attend for the PTA to reach their goal of 3500
1 answer