solve using systems of equations

At a football game, tickets cost #3 for the students and $7 for adults. if a total of 1,820 people attended the game and $8000 was collected by ticket sales how many of each type of ticket was sold

Question

solve using systems of equations

At a football game, tickets cost #3 for the students and $7 for adults. if a total of 1,820 people attended the game and $8000 was collected by ticket sales how many of each type of ticket was sold

anonymous · Answer

3s+7a=8000
s+a=1820

where s is number of students, a is number of adults.  Let me know if you need help solving

anonymous · Answer

yes i do sorry i get all lost

anonymous · Answer

k do you want me to explain how i got the equations or does that make sense

anonymous · Answer

it makes sense when i see it

anonymous · Answer

k.  then to solve we multiply the bottom equation by -3
3s+7a=8000
-3s-3a=-5460
now add the two
4a=2540
a=635
plug back in to get s
s+635=1820
s=1185

anonymous · Answer

ok?

anonymous · Answer

yes that is great thank you a bunch

anonymous · Answer

no problem