Question

An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. If the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters long?

Answer 1

lets place x desks and x book shelves , then we have
2x + 1.5x metres covered
we need

2x+1.5 x <= 15
=> 3.5 x<= 15
x<= 30/7

hence max value of x =4

hence length covered = 14 m

remaining =1m