Question

Try AgainAt the city museum, child admission is $6.00 and adult admission is $9.20. On Monday, twice as many adult tickets as childtickets were sold, for a total sales of $780.80. How many child tickets were sold that day?

Answer 1

Answer:

32 child tickets were sold on that day

Explanation:

Given:

The cost per child = $6.00

let the number of child tickets = c

The cost per adult ticket = $9.20

let the number of adult tickets = a

To find:

the number of child tickets sold

On Monday:

Adult tickets = 2(children tickets)

a = 2c

Total sales on Monday = $780.80

Total sales = The cost per child (number of child tickets) + The cost per adult (number of adults tickets)

780.80 = 6(c) + 9.2(a)

substitute for a:

780.8 = 6c + 9.2(2c)

780.8 = 6c + 18.4c

780.8 = 24.4c

divide both sides by 24.4:

$\begin{gathered} \frac{780.8}{24.4}\text{ = }\frac{24.4c}{24.4} \\ \\ c\text{ = 32} \end{gathered}$

Hence, 32 child tickets were sold on that day