Math assignment

Question

Ninety one passengers rode In a train from city a to city b . Tickets for regular coach seats cost $117. Tickets for sleeper car seats cost $286. The receipts for the trip totaled $19,435. How many passengers purchased each type of ticket

Answer 1

$117x + $286y = $19,435

x+y= 91 passengers

y= 91-x

$117x + $286(91-x) = $19,435

$117x + $26026 - $286x = $19,435

$26026 -$19,435 = $286x - $117x

$6591 = $169x

39 = x

$117(39) + $286y = $19,435

$286y = 14,872

y = 52

39 people purchased the $117 regular coach seats.

52 people purchased the $286 sleeper car seats.