SOLUTION: Eric can put together a bookshelf in two steps. The first step requires 5 wooden boards and 9 nails. The second step requires 3 wooden boards and 6 nails. If Eric has 70 wooden boa

Question 1183108: Eric can put together a bookshelf in two steps. The first step requires 5 wooden boards and 9 nails. The second step requires 3 wooden boards and 6 nails. If Eric has 70 wooden boards and 110 nails available in his workshop, what is the maximum number of bookshelves he could put together?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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