Question

The Jurassic Zoo charges $6 for each adult admission and $3 for each child. The total bill for the 187 people from a school trip was $648. How many adults and how many children went to the zoo?

Answer 1

29 adults went to the zoo

158 children went to the zoo

Step-by-step explanation:

Let x represent the number of adults that went to the zoo

Let y represent the number of children that went to the zoo

From the question, we can go ahead and set up the below system of equations;

`\begin{gathered} x+y=187\ldots\ldots\ldots\text{Equation 1} \\ 6x+3y=648\ldots\ldots\text{.}\mathrm{}\text{Equation 2} \end{gathered}`

We'll go ahead and solve the above system of equations simultaneously following the below steps;

Step 1: Express y in terms of x in Equation 1;

`\begin{gathered} x+y=187 \\ x-x+y=187-x \\ y=187-x\ldots\ldots\ldots\text{.Equation 3} \end{gathered}`

Step 2: Substitute y in Equation 2 with (187 - x) and solve for x;

`\begin{gathered} 6x+3(187-x)=648 \\ 6x+561-3x=648 \\ 3x+561=648 \\ 3x=648-561 \\ 3x=87 \\ (3x)/(3)=(87)/(3) \\ x=29 \end{gathered}`

So 29 adults went to the zoo

Step 3: Substitute x in Equation 3 with 29 and solve for y;

`\begin{gathered} y=187-29 \\ y=158 \end{gathered}`

So 158 children went to the zoo