Question

At the city museum, child admission is $5.40 and adult admission is $9.10. On Monday, three times as many adult tickets as child tickets were sold, for a total sales of $1079.10 . How many child tickets were sold that day?

Answer 1

Answer: 33 child tickets that were sold.

Explanation:

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

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

At the city museum, child admission is $5.40 and adult admission is $9.10. A total sales of $1079.10 was made on Monday. This means that

5.4x + 9.1y = 1079.1 - - - - - - - - - -1

On Monday, three times as many adult tickets as child tickets were sold. This means that

y = 3x

Substituting y = 3x into equation 1, it becomes

5.4x + 9.1 × 3x = 1079.1

5.4x + 27.3x = 1079.1

32.7x = 1079.1

x = 1079.1/32.7

x = 33

y = 3x = 3 × 33

y = 99