Question

A time share condo costing ____ dollars was originally going to be shared by six families, but two families pulled out of the deal at the last minute. In terms of x, how much did the cost per family increase for the remaining four families.

a) -2x
b) -x/2
c) x/12
d) x/6
e) 2x

Answer 1

Option C
`(x)/(12)`

Explanation:

The initial share per family was =
`(x)/(6)`

Now, the new share per family is =
`(x)/(4)`

In terms of x, the cost per family increased by =

`(x)/(4) -(x)/(6)`

LCM of 4 and 6 is 12.

`(3x-2x)/(12)`

=
`(x)/(12)` (option C)