Archie and Luke had 45 staplers together. Archie had 9 more staplers than Luke. Both of them sold some of their staplers. Luke sold 20% less staplers than what Archie sold. In the end, Luke had half as many staplers left as Archie. How many staplers had Archie left?
| |
Archie
(1) |
Luke
(2) |
Make p the same
(2)x2 = (3) |
Comparing Archie
and Luke at first |
9 more |
|
|
| Before |
27 |
18 |
36 |
| Change |
- 5 u |
- 4 u |
- 8 u |
| After |
2 p |
1 p |
2 p |
Number of staplers that Luke had at first
= (45 - 9) ÷ 2
= 36 ÷ 2
= 18
Number of staplers that Archie had at first
= 18 + 9
= 27
Number of staplers that Luke sold in percent
= 100% - 20%
= 80%
80% =
80100 =
45 Make p the same.
(1) = (3)
27 - 5 u = 36 - 8 u
8 u - 5 u = 36 - 27
3 u = 9
1 u = 9 ÷ 3 = 3
Number of staplers that Archie had left
= 27 - 5 u
= 27 - 5 x 3
= 27 - 15
= 12
Answer(s): 12
