A theater company charges $5.75 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Question

anonymous · Answer

A. 5.75c + a
B. c + 5.75a
C. 11.5(c + a)
D. 5.75(c + a)

mathmale · Answer

If the price is the same for all, just add together the numbers of people in all age groups and mult. that sum by the ticket price.

anonymous · Answer

@Mehek14

mathmale · Answer

How many children attended?  How many adults attended?

Answer with letters that represent these numbers.

anonymous · Answer

d.

mathmale · Answer

then what?  How many people, total, attended?

anonymous · Answer

If everyone pays the same for the tickets, then children pay 5.75c and adults pay 5.75a. Right? You add them together and get 5.75a + 5.75c. BUT you can factor out the 5.75 cuz it's common, and you are left with the expression 5.75(c+a)

mathmale · Answer

Great.  Great explanation!  Very good, Joe.  You're wise.  ;)

anonymous · Answer

thank you.