The carpenter has in stock 26 long wooden panels, 33 short wooden panels, 200 small clips, 20 large clips and 510 screws. How many complete sets of bookshelves can the carpenter make ?
Answers
Question:
To complete one set of bookshelves a carpenter needs the following components:-
4 long wooden panels
6 short wooden panels
12 small clips
2 large clips and 14 screws
The carpenter has in stock 26 long wooden panels, 33 short wooden panels, 200 small clips, 20 large clips and 510 screws. How many complete sets of bookshelves can the carpenter make ?
Solution:
According to question,
(We will be avoiding decimal values)
Out of 26 long wood panels only = 26 / 4 ≈ 6 sets of bookshelves can
be made.
Out of 33 short wood panels only = 33 / 6 ≈ 5 sets of bookshelves can
be made.
Out of 200 small clips only = 200 / 12 ≈ 16 sets of bookshelves can
be made.
Out of 20 large clips only = 20 / 2 ≈ 5 sets of bookshelves can
be made.
Out of 510 screws only = 510 / 14 ≈ 36 sets of bookshelves can
be made.
But , every material will be used collectively to make a bookshelf.
By , above calculation we can see that if we want to create 6 sets according to the amount of wood panels we are having then there will be shortage of short wood panels so , a bookshelf can't be made and we can relate this thing to other things use to make in bookshelf. Everytime there is one or the other thing which is less.
But, if we create 5 sets of bookshelves according to short wood panels then all things will be in sufficient amount like right amount of long wooden panels, small clips , large clips and screws.
There will be 5 complete sets which carpenter can make with his stock.
Complete question:
To complete one set of bookshelves a carpenter needs the following components:
4 long wooden panels,
6 short wooden panels,
12 small clips,
2 large clips and
14 screws.
The carpenter has in stock 26 long wooden panels, 33 short wooden panels, 200 small clips, 20 large clips and 510 screws.
How many sets of bookshelves can the carpenter make?
Answer:
The number of bookshelves the carpenter can make is 5.
Step-by-step explanation:
The number of bookshelves built with 26 long wooden panels is:
⇒ 26/4 ≈ 6
The number of bookshelves built with 33 short wooden panels is:
⇒ 33/6 ≈ 5
The number of bookshelves built with 200 small clips is:
⇒ 200/12 ≈ 16
The number of bookshelves built with 20 large clips is:
⇒ 20/2 = 10
The number of bookshelves built with 510 screws is:
⇒ 510/14 ≈ 36
A book shelve is built with 4 long wooden panels, 6 short wooden panels, 12 small clips, 2 large clips and 14 screws. Thus, number of bookshelves that can be created by the carpenter is 5.