Question

Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay $28.50 for a ticket. How many students and how many adults went to the park if they paid a total of $4770?

Answer 1

a + s = 150 --> a = 150 - s
45a + 28.5s = 4770

now sub 150 - s in for a in the 2nd equation
45(150 - s) + 28.5s = 4770
6750 - 45s + 28.5s = 4770
- 16.5s = 4770 - 6750
- 16.5s = - 1980
s = - 1980/- 16.5
s = 120
Now sub 120 in for s in the 1st equation
a + s = 150
a + 120 = 150
a = 150 - 120
a = 30
check....
45a + 28.5s = 4770
45(30) + 28.5(120) = 4770
1350 + 3420 = 4770
4770 = 4770 (correct)
ANSWER : There were 30 adults and 120 students.

Answer 2

thanks i clearly see it better now

Answer 3

your welcome :)