the admission fee for a charity event is 7 dollars for children and 10 dollars for adults the event was attended by 700 people and the total amount collected in admissions was 6,400 dollars
Given: $7/child $10/adult Total people = 700 Total money = $6,400
First, make two equations. Let a = # of adults & Let c = # of children. Let p = total people
1. a+c = 700 2. 10a+7c = 6,400
Then, rearrange the equation to solve for a variable. c = 700-a
Substitute (700-a) for c, or the # of children in the second equation. 10a+(700-a) = 6400 9a+700 = 6400 9a+700-700 = 6400-700 9a = 5700 9a/9 = 5700/9 a = 633[tex] \frac{1}{3} [/tex] = # of adults attended
700-633[tex] \frac{1}{3} [/tex] = c = 66 [tex] \frac{2}{3} [/tex] = # of children attended
