There were 1040 books in a book shop. There were 4 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 |
4 |
1 |
|
|
|
|
1 |
1 |
|
|
2x2 |
|
|
1x2 |
|
4 u |
1 u |
1 u |
2 u |
8 u |
(a)
The number of assessment books is repeated. Make the number of assessment 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 = 1040
1 u = 1040 ÷ 8 = 130
Number of manuals
= 1 u
= 130
(b)
Total number of assessment books
= 4 u
= 4 x 130
= 520
Answer(s); (a) 130; (b) 520