Luke's Motel rents rooms with 2 beds for $65 and rooms with one bed for $56. On a given night, Luke's Motel takes in $4836, and twice as many double bed rooms as single bed rooms were rented. How many double bed rooms were rented?

Question

Mathematics

Lin

20 July, 04:39

Luke's Motel rents rooms with 2 beds for $65 and rooms with one bed for $56. On a given night, Luke's Motel takes in $4836, and twice as many double bed rooms as single bed rooms were rented. How many double bed rooms were rented?

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Answers (1)

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Rory Johnston · Answer 1

X=number of single beds

y=number of double beds

y=2x

56x+65y=4836

sub 2x for y

56x+65 (2x) = 4836

56x+130x=4836

186x=4836

divide both sides by 186

x=26

sub back

y=2x

y=2 (26)

y=52

52 double beds