What number of paper clips could he have?

Question

Brain has some boxes of paper clips,Some boxes hold 10 clips and some boxes hold 100. He has some paper clips left over. He has three more boxes with 100 paper clips than he has boxes with 10 paper clips.He has two fewer paper clips left over than he has numbers of boxes with 100 paper clips. What number of paper clips could he have?

Answer 1

L=3+s

3 more Large (100) boxes than small (10) boxes

2 less left remaining , r clips than L

r=L-2

total clips = 100L+10s +r= 100L+10(L-3) +L-2= 111L-32

where L=number of 100 clip Large boxes

r,s and L are all whole numbers, positive integers, L>3, r>0, s>0

let s=1, r=2, L=4

111(4)-32= 444-32

= 412 = minimum total paper clips