Michaels father bought him a 16foot board to cut into shelve

Michael\'s father bought him a 16-foot board to cut into shelves for this bedroom. Michael plans to cut the board into 11 equal size lengths for his shelves. The saw blade that Michael will use to cut the board will change the length of the board by - 0.125 inches for each cut. How will this affect the total length of the board? After making his cuts, what will the exact length of each shelf be?

Solution

total length = 16feet

he want to get 11 pieces

length of 1 piece = 16/11

a) for 11 pieces she have to cut 10 times

length will reduced by 0.125*10 = 1.25feet

b)actual remaining length is 16-1.25 feet = 14.75feet

length of each is 14.75/11 = 1.340909 feet