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 [tex]x[/tex].
There are twice as many adults as children. So the number of adults will be [tex]2x[/tex].
Each child's ticket costs [tex]\$1.20[/tex]. The [tex]x[/tex] children will contribute a total of [tex]1.20 x[/tex] dollars to the total admission fee.
Each adult's ticket costs twice as much as a child's ticket. That's [tex]2\times \$1.20 = \$2.40[/tex]. The [tex]2x[/tex] adults will contribute a total of [tex]2.40\times 2x =4.80x[/tex] dollars to the total admission fee.
However,
[tex]\begin{aligned}&\text{Admission fee from children} \\+&\text{Admission fee from adults} \\ = &\text{Total Admission fee collected}\end{aligned}[/tex].
In other words,
[tex]1.20x + 4.80x = 1944[/tex].
[tex]6x = 1944[/tex].
[tex]\displaystyle x = \frac{1944}{6} = 324[/tex].
In other words, [tex]324[/tex] children visited the zoo. Twice as many adults visited the zoo. That's [tex]2x = 648[/tex] adults. [tex]324 + 648 = 972[/tex] people visited the zoo in total.
