The tickets for a dance recital cost $5.00 for adults and $2.00 for children. If the total number of tickets sold was 295 and th
e total amount collected was $1,220, how many adults tickets were sold?
1 answer:
To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children
5a + 2c = 1,220
a + c = 295
a + c = 295
-c -c
a = 295 - c
5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220
1,475 - 3c = 1,220
-1,475 -1,475
-3c = -255
-3c/-3 = -255/-3
c = 85
a + c = 295
a + 85 = 295
-85 -85
a = 210
210 adults attended the dance recital
Hope this helps!
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