Question

Quick!!!

Answer 1

Answer:

• 324 children, and
• 648 adults.

That's 972 people in total.

Step-by-step explanation:

Here's how to solve this problem by setting up an equation with a single unknown.

Let the number of children that visited the zoo be $x$.

There are twice as many adults as children. So the number of adults will be $2x$.

Each child's ticket costs $\ 1.20$. The $x$ children will contribute a total of $1.20 x$ dollars to the total admission fee.

Each adult's ticket costs twice as much as a child's ticket. That's $2\times \ 1.20 = \ 2.40$. The $2x$ adults will contribute a total of $2.40\times 2x =4.80x$ dollars to the total admission fee.

However,

$\begin{aligned}&\text{Admission fee from children} \\+&\text{Admission fee from adults} \\ = &\text{Total Admission fee collected}\end{aligned}$.

In other words,

$1.20x + 4.80x = 1944$.

$6x = 1944$.

$\displaystyle x = \frac{1944}{6} = 324$.

In other words, $324$ children visited the zoo. Twice as many adults visited the zoo. That's $2x = 648$ adults. $324 + 648 = 972$ people visited the zoo in total.