Question

admission to a zoo costs $10 for adults and $6 for children. a group of 29 people attending the zoo paid a total of $222 in admission fees. how many adults and children went to the zoo?
enter your answers in the boxes provided
number of adults:
number of children:

Explanation:

Step1: Define variables

Let \( x \) be the number of adults and \( y \) be the number of children. We have two equations:

1. \( x + y = 29 \) (total number of people)
2. \( 10x + 6y = 222 \) (total admission fees)

Step2: Solve the first equation for \( y \)

From \( x + y = 29 \), we get \( y = 29 - x \).

Step3: Substitute \( y \) into the second equation

Substitute \( y = 29 - x \) into \( 10x + 6y = 222 \):

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Step4: Find \( y \)

Substitute \( x = 12 \) into \( y = 29 - x \):
\( y = 29 - 12 = 17 \)

Answer:

Number of Adults: \( 12 \)
Number of Children: \( 17 \)