51.8k views
3 votes
The Jurassic Zoo charges ​$7 for each adult admission and ​$4 for each child. The total bill for the 81 people from a school trip was ​$402. How many adults and how many children went to the​ zoo

1 Answer

4 votes

thats a lot of money LOL, anyways..

Answer:

26 adults and 55 children

Explanation:

we can create two equations

1. A + C = 81 (since there were 81 people in total on the school trip).

2. 7A + 4C = 402 (since the total bill was $402, with $7 for each adult and $4 for each child).

use the first equation to express one of the variables in terms of the other, and then substitute it into the second equation.

express A in terms of C:

A = 81 - C

substitute this expression for A into the second equation:

7(81 - C) + 4C = 402

expand to solve for C:

567 - 7C + 4C = 402

combine like terms:

-3C = 402 - 567

-3C = -165

divide by -3 to solve for C:

C = -165 / -3

C = 55

55 children on the school trip. now, you can use the first equation to find the number of adults:

A + 55 = 81

subtract 55 from both sides:

A = 81 - 55

A = 26

so, there were 26 adults on the school trip.

there were 26 adults and 55 children who went to the jurassic zoo on the school trip.

User Quibblesome
by
7.6k points