Will mark brainliest if right

a school is preparing a field trip for 450 students. the transportation company has 9 buses of 30 seats each and 12 buses of 50 seats. on the day of the trip only 11 drivers can come. if it costs $750 to rent a large bus and $500 to rent a small bus, how many buses of each type should the school use to minimize travel expenses?

They should use 9 large buses

Step-by-step explanation:

First; determine the cost per person for each bus.

$500 / 30 seats = $16.66 per student

$750 / 50 seats = $15.00 per student

Therefore it is cheaper for the school to use the large buses exclusively.

They can book 9 large buses at the cost of ($750 * 9) = $6,750 and not use all the available drivers.

Another alternative that some might use would be:

30x + 50x = 450

80x = 450

x=5.625

30(5) + 50(6)

150+300 = 450

($500 * 5) + ($750*6) =

$2500 + 4500 = $7,000

The price though is more that just booking 9 buses and thus not the correct answer.

step-by-step explanation:

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the solution is 12x-6y