There were 1840 books in a shop. There were 4 times as many manuals as non-fiction books. There were an equal number of non-fiction books and storybooks. There were half as many assessment books as manuals.
- How many non-fiction books were there?
- How many manuals were there?
Manuals |
Non-fiction books |
Storybooks |
Assessment books |
Total |
4 |
1 |
|
|
|
|
1 |
1 |
|
|
2x2 |
|
|
1x2 |
|
4 u |
1 u |
1 u |
2 u |
8 u |
(a)
The number of manuals is repeated. Make the number of manuals 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 = 1840
1 u = 1840 ÷ 8 = 230
Number of non-fiction books
= 1 u
= 230
(b)
Total number of manuals
= 4 u
= 4 x 230
= 920
Answer(s); (a) 230; (b) 920