There were 2880 books in a book shop. There were 4 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 |
4 |
1 |
|
|
|
|
1 |
1 |
|
|
2x2 |
|
|
1x2 |
|
4 u |
1 u |
1 u |
2 u |
8 u |
(a)
The number of non-fiction books is repeated. Make the number of non-fiction books the same. LCM of 2 and 4 is 4.
Total number of books
= 4 u + 1 u + 1 u + 2 u
= 8 u
8 u = 2880
1 u = 2880 ÷ 8 = 360
Number of storybooks
= 1 u
= 360
(b)
Total number of non-fiction books
= 4 u
= 4 x 360
= 1440
Answer(s); (a) 360; (b) 1440