There were 2310 books in a stationery kiosk. There were 6 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 |
6 |
1 |
|
|
|
|
1 |
1 |
|
|
2x3 |
|
|
1x3 |
|
6 u |
1 u |
1 u |
3 u |
11 u |
(a)
The number of manuals is repeated. Make the number of manuals 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 = 2310
1 u = 2310 ÷ 11 = 210
Number of non-fiction books
= 1 u
= 210
(b)
Total number of manuals
= 6 u
= 6 x 210
= 1260
Answer(s); (a) 210; (b) 1260