Question

The Jurassic Zoo charges ​$8 for each adult admission and ​$6 for each child. The total bill for the 284 people from a school trip was ​$1878. How many adults and how many children went to the​ zoo?

Answer 1

Overall, there were 147 kids who went and 137 adults who went.

Explanation:

x + y = 284

Let's say x represents the children and y represents the adults. 284 represents the number of people who went. Put the money amounts to multiply with x and y based on their status.

6x + 8y = 284

Now use the elimination method (for y).

y = 284 - x

Plug it in...

6x + 8(284 - x) = 1878

Start simplifying.

6x + 2272 - 8x = 1878

-2x + 2272 = 1878

-2x = -394

x = 147

Subtract.

284 - 147 = 137

Overall, there were 147 kids who went and 137 adults who went.