There were 4070 books in a shop. There were 6 times as many assessment books as manuals. There were an equal number of manuals and non-fiction books. There were half as many storybooks as assessment books.
- How many manuals were there?
- How many assessment books were there?
Assessment books |
Manuals |
Non-fiction books |
Storybooks |
Total |
6 |
1 |
|
|
|
|
1 |
1 |
|
|
2x3 |
|
|
1x3 |
|
6 u |
1 u |
1 u |
3 u |
11 u |
(a)
The number of assessment books is repeated. Make the number of assessment 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 = 4070
1 u = 4070 ÷ 11 = 370
Number of manuals
= 1 u
= 370
(b)
Total number of assessment books
= 6 u
= 6 x 370
= 2220
Answer(s); (a) 370; (b) 2220