Question 1183108
i think 7.


he requires 5 boards for step 1 and 3 boards for step 2.
that's a total of 8 boards for step 1 and step 2.


he requires 9 nails for step 1 and 6 nails for step 2.
that's a total of 15 nails for step 1 and 2.


he has 70 boards and 110 nails.


70 divided by 8 = 8 bookshelves = 64 boards with 6 boards left over.


110 / 15 = 7 bookshelves = 105 nails with 5 nails left over.


the limiting factor is the nails.


therefore 7 bookshelves can be made.


7 * 8 = 56 boards with 14 left over.


7 * 15 = 105 nails with 5 left over.


the left over material is not enough to finish an additional bookshelf because an additional bookshelf required 8 bvoards and 15 nails.


there are enough boards left over but  not enough nails left over to finish another bookshelf.