Question

Quick!!!

The admission fee to a zoo is $1.20 for children and twice as much for
adults. If twice as many adults as children visited the zoo and the total
admission fee collected was $1 944, how many people visited the zoo?​

Answer 1

• 324 children, and
• 648 adults.

That's 972 people in total.

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* \$1.20 = \$2.40`. The
`2x` adults will contribute a total of
`2.40* 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 = (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.