There were 2160 books in a shop. There were 4 times as many storybooks as assessment books. There were an equal number of assessment books and manuals. There were half as many non-fiction books as storybooks.
- How many assessment books were there?
- How many storybooks were there?
Storybooks |
Assessment books |
Manuals |
Non-fiction books |
Total |
4 |
1 |
|
|
|
|
1 |
1 |
|
|
2x2 |
|
|
1x2 |
|
4 u |
1 u |
1 u |
2 u |
8 u |
(a)
The number of storybooks is repeated. Make the number of storybooks 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 = 2160
1 u = 2160 ÷ 8 = 270
Number of assessment books
= 1 u
= 270
(b)
Total number of storybooks
= 4 u
= 4 x 270
= 1080
Answer(s); (a) 270; (b) 1080