in an apartment building that has 441 units , 4 out of every 7 units are currently rented , including 1 / 5 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ?
"rented = 4 / 7 * 441 = 252 . rented two - bedroom = 6 / 7 * 252 = 216 ; rented one - bedroom = 1 / 7 * 252 = 36 or 252 - 216 = 36 ) . rented one - bedroom units are 1 / 5 of all one - bedroom : 1 / 5 * { all one bedroom } = 36 - - > { all one - bedroom } = 180 . { all two - bedroom } = 441 - 180 = 261 . two - bedroom not rented = 261 - 216 = 45 . answer : a ."
subtract(subtract(441, divide(subtract(multiply(4, divide(441, 7)), multiply(5, divide(multiply(4, divide(441, 7)), add(5, 1)))), divide(1, 5))), multiply(5, divide(multiply(4, divide(441, 7)), add(5, 1))))