Question

At the city museum, child admission is $5.10 and adult admission is $9.90. On Thursday, twice as many adult tickets as child tickets were sold, for a total salesof $697.20. How many child tickets were sold that day?

Answer 1

Let x represent the number of child admission tickets that were sold that day.

Let y represent the number of adult admission tickets that were sold that day.

On Thursday, twice as many adult tickets as child tickets were sold. This means that

y = 2x

Child admission is $5.10 and adult admission is $9.90. Given that the total sales is $697.2, the equation would be

5.1x + 9.9y = 697.2

Substituting y = 2x into the above equation, it becomes

5.1x + 9.9(2x) = 697.2

5.1x + 19.8x = 697.2

24.9x = 697.2

x = 697.2/24.9

x = 28

y = 2x = 2 * 28

y = 56

28 child tickets were sold that day.