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?
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A. 5.75c + a
B. c + 5.75a
C. 11.5(c + a)
D. 5.75(c + a)
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.
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How many children attended? How many adults attended?
Answer with letters that represent these numbers.
then what? How many people, total, attended?
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)
Great. Great explanation! Very good, Joe. You're wise. ;)