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?

Question

pfenn1 · Answer

Let x = number of students on trip.  Then (150 - x) = the adults on the trip. The total amount paid would equal the number of students times their ticket price plus the number of adults times their ticket price.  Can you write this equation in mathematical form?

anonymous · Answer

i can try

anonymous · Answer

45x+28.50y=150

pfenn1 · Answer

Almost.  If you let x = number of adults and y = number of students, the left side of your equation is correct.  However, the number of adults times the adult ticket price(45x) plus the number of students times the student price(28.50y) is equal to the total amount paid to the park(4770).

pfenn1 · Answer

The number of students (y) plus the number of adults (x) equals the total number of people (150).