There were 3630 books in a bookstore. There were 6 times as many non-fiction books as storybooks. There were an equal number of storybooks and assessment books. There were half as many manuals as non-fiction books.
- How many storybooks were there?
- How many non-fiction books were there?
Non-fiction books |
Storybooks |
Assessment books |
Manuals |
Total |
6 |
1 |
|
|
|
|
1 |
1 |
|
|
2x3 |
|
|
1x3 |
|
6 u |
1 u |
1 u |
3 u |
11 u |
(a)
The number of non-fiction books is repeated. Make the number of non-fiction books the same. LCM of 2 and 6 is 6.
Total number of books
= 6 u + 1 u + 1 u + 3 u
= 11 u
11 u = 3630
1 u = 3630 ÷ 11 = 330
Number of storybooks
= 1 u
= 330
(b)
Total number of non-fiction books
= 6 u
= 6 x 330
= 1980
Answer(s); (a) 330; (b) 1980