Ben and Michael had 62 notebooks together. Michael had 2 less notebooks than Ben. Both of them sold some of their notebooks. Michael sold 20% more notebooks than what Ben sold. In the end, Michael had half as many notebooks left as Ben. How many notebooks had Michael left?
| |
Ben
(1) |
Michael
(2) |
Make p the same
(2)x2 = (3) |
Comparing Ben
and Michael at first |
2 more |
|
|
| Before |
32 |
30 |
60 |
| Change |
- 5 u |
- 6 u |
- 12 u |
| After |
2 p |
1 p |
2 p |
Number of notebooks that Michael had at first
= (62 - 2) ÷ 2
= 60 ÷ 2
= 30
Number of notebooks that Ben had at first
= 30 + 2
= 32
Number of notebooks that Michael sold in percent
= 100% + 20%
= 120%
120% =
120100 =
65 Make p the same.
(1) = (3)
32 - 5 u = 60 - 12 u
12 u - 5 u = 60 - 32
7 u = 28
1 u = 28 ÷ 7 = 4
Number of notebooks that Michael had left
= 30 - 6 u
= 30 - 6 x 4
= 30 - 24
= 6
Answer(s): 6
