At the movie theatre, child admission is $5.20 and adult admission is $9.70. on sunday three time as many adult tickets as child tickets were sold, for a total sales of $788.90. how many child tickets were sold that day?

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold.  Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets.  Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms:  34.3x = 788.90

Divide both sides by 34.3:  x = 23 child tickets

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: