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Question
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

Let x be the number of adults attending the carnival and y be the number of children attending the carnival.

We know that the total number of people attending is 500, so:

x + y = 500

We also know that the amount earned from adults attending is $10 per adult, and the amount earned from children attending is $5 per child. The total amount earned should be $3,500, so:

10x + 5y = 3500

Now we need to solve these two equations simultaneously to find the values of x and y. This can be done through substitution, elimination, or another method of your choice.