Liam has a total of 37 of purple and green notebooks.
13 of the purple notebooks and half of the green notebooks are new. How many of his green notebooks are new if he has a total of 14 new notebooks?
| |
Purple notebooks |
Green notebooks |
Total |
| Total |
3 u |
2 p |
37 |
| New |
1 u |
1 p |
14 |
| Old |
2 u |
1 p |
23 |
Number of old notebooks
= 37 - 14
= 23
1 u + 1 p = 14 --- (1)
2 u + 1 p = 23 --- (2)
(2) - (1)
(2 u + 1 p) - (1 u + 1 p) = 23 - 14
2 u - 1 u = 9
1 u = 9
1 u = 9 ÷ 1 = 9
Number of new green notebooks
= 14 - 1 u
= 14 - 9
= 5
Answer(s): 5
