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

Question

monitta

3 years ago

6

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?

Mathematics

1 answer:

dem82 [27] · Answer 1 · 2022-05-01T12:22:31+03:00

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!