Archie and Will had 180 notebooks together. Will had 4 less notebooks than Archie. Both of them sold some of their notebooks. Will sold 10% more notebooks than what Archie sold. In the end, Will had half as many notebooks left as Archie. How many notebooks had Will left?
| |
Archie
(1) |
Will
(2) |
Make p the same
(2)x2 = (3) |
Comparing Archie
and Will at first |
4 more |
|
|
| Before |
92 |
88 |
176 |
| Change |
- 10 u |
- 11 u |
- 22 u |
| After |
2 p |
1 p |
2 p |
Number of notebooks that Will had at first
= (180 - 4) ÷ 2
= 176 ÷ 2
= 88
Number of notebooks that Archie had at first
= 88 + 4
= 92
Number of notebooks that Will sold in percent
= 100% + 10%
= 110%
110% =
110100 =
1110 Make p the same.
(1) = (3)
92 - 10 u = 176 - 22 u
22 u - 10 u = 176 - 92
12 u = 84
1 u = 84 ÷ 12 = 7
Number of notebooks that Will had left
= 88 - 11 u
= 88 - 11 x 7
= 88 - 77
= 11
Answer(s): 11
