There were 2530 books in a book shop. There were 6 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 |
6 |
1 |
|
|
|
|
1 |
1 |
|
|
2x3 |
|
|
1x3 |
|
6 u |
1 u |
1 u |
3 u |
11 u |
(a)
The number of storybooks is repeated. Make the number of storybooks 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 = 2530
1 u = 2530 ÷ 11 = 230
Number of assessment books
= 1 u
= 230
(b)
Total number of storybooks
= 6 u
= 6 x 230
= 1380
Answer(s); (a) 230; (b) 1380