anonymous
  • anonymous
if a cinema took in $1270 in ticket sales for a movie that 220 people attended. child tickets are $4.50 and adults ate $6.50, how many children attended?
Mathematics
katieb
  • katieb
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sandra
  • sandra
there are two unknowns, the number of child tickets sold and the number of adult tickets sold
sandra
  • sandra
so you know you need two equations to solve it
sandra
  • sandra
1. c + a = 220 2. 4.5c + 6.5a = 1270 3. Now you want to take the value of a in the first equation, and substitute it into the seocnd

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sandra
  • sandra
so a = 220 - c
sandra
  • sandra
4. 4.5c + 6.5* (220 -c) = 1270
sandra
  • sandra
5. 4.5c - 6.5c + 1430 = 1270
sandra
  • sandra
6. now get all of the c's on one side, and the plane numbers on the other
sandra
  • sandra
so 1430 - 1270 = 6.5c - 4.5c 160 = 2c c = 80

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