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?

Respuesta :

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