Question

The admission fee at a small fair is $2.00 for children and $4.00 for adults on a certain day 30 people enter the fair and $100 is collected collected how many children and how many adults attended and justify higher and how you know your response make sure to label your variables and state your solution in a complete sentence

Answer 1

10 children 20 adults

Explanation:

children = c

adult = 2c (double than children)

2(c) + 4(2c) = 100

10c = 100

c = 10 10 children

30-10 = 20 20 adults

$2(10) = $20

$4(20) = $80

$20+$80 = $100

Answer 2

20 adults and 10 children

Explanation:

We need to find the total amount of adults and children for 30 total people (adults + children) and only 100$ for them. 30 adults is 120$. We need to take off double the amount of money that would bring it to 100$ because the cost for each child is half of an adult. That way, we have 80$ of adults, and when we fill in the rest with children, we get to 100$ total and 30 total people.