Question

WILL MEDAL AND FAN
The Latin Club charted a bus to travel to and participate in a state competition. The cost for each adult to ride the bus was $25 and the cost for each student to ride the bus was $15.

A total of 17 people rode the bus. The total paid for the bus was $305.

How many students and adults were on the bus?

Answer 1

25a + 15c = 305
a + c = 17

this is a substitution problem. Can you finish from here or do you need more help ?

Answer 2

This is a type of problem which can be solved by a system of equations, or solved mentally as in the following \(example\):
Example: students: $15, adults: $25.
Total fare: $295 (REMEMBER: this is an example) for 17 persons.
Solution:
If all students, total fare=17*15=$255.
Since we collected $295, the excess $295-255=$40 divided by ($25-$15) pays for 4 adults, so
13 students and 4 adults. (= answer to EXAMPLE).

Answer 3

the number of adults is a = 5.

Answer 4

The number of students is s = 12.