Julian and Albert had 86 notebooks together. Julian had 18 more notebooks than Albert. Both of them sold some of their notebooks. Albert sold 30% less notebooks than what Julian sold. In the end, Albert had half as many notebooks left as Julian. How many notebooks had Julian left?
|
Julian (1) |
Albert (2) |
Make p the same (2)x2 = (3) |
Comparing Julian and Albert at first |
18 more |
|
|
Before |
52 |
34 |
68 |
Change |
- 10 u |
- 7 u |
- 14 u |
After |
2 p |
1 p |
2 p |
Number of notebooks that Albert had at first
= (86 - 18) ÷ 2
= 68 ÷ 2
= 34
Number of notebooks that Julian had at first
= 34 + 18
= 52
Number of notebooks that Albert sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
52 - 10 u = 68 - 14 u
14 u - 10 u = 68 - 52
4 u = 16
1 u = 16 ÷ 4 = 4
Number of notebooks that Julian had left
= 52 - 10 u
= 52 - 10 x 4
= 52 - 40
= 12
Answer(s): 12