A train has a capacity of 154 seats. Tickets for seats are sold at $8 and $12. There are 1/5 more $8-seats than $12-seats on the train. During a trip, the amount collected from the sales of $8 tickets was twice the amount collected from the $12 tickets. The total amount collected was $540. How many $8-seats were not taken during the trip?
Note: Those in red are not necessary for the actual workings.
$8 $12 Total
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Number of seats 6 u : 5 u 154
Amount collect 2 p : 1 p $540
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11 u --> 154
1 u --> 154 ÷ 11 = 14
6 u --> 6 x 14 = 84
3 p --> 540
1 p --> 540 ÷ 3 = 180
2 p --> 2 x 180 = 360
360 ÷ 8 = 45
84 - 45 = 39 $8 tickets
It was 39 $8 tickets not taken up.
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