Question

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. Let a represent the number of adults and s represent the number of students. Finish the equations below to represent the system and then solve.

Answer 1

$25a + $15s =$305
a + s = 17
a = 17 - s

$25a +$15s =$305
$25(17-s) + $15s=$305
425-25s +15s = $305
425-10s=305
-10s=305-425
-10s= -120
-10s/-10 = -120/-10
s = 12

a+ 12 = 17
a = 5

Check
$25a + $15s =$305
$25(5) + $15(12) =$305
125 + 180 = 305
305 = 305