: John and Bob can paint a room in 12 days.
Will and Nick can paint room in 16 days.
John and Will can paint a room in only 8 days.
How long will it take Bob and Nick to paint the room?

  48 days

Step-by-step explanation:

In terms of rooms per day, the rates add up as ...

  (1/J +1/B) +(1/W +1/N) -(1/J +1/W) = 1/12 +1/16 -1/8

  1/B +1/N = (4+3-6)/48 = 1/48

Bob and Nick working together can paint 1/48 of the room each day. It will take 48 days for Bob and Nick to paint the room.

the solution is 12x-6y

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have