Nick and Gabriel had 57 staplers together. Gabriel had 5 less staplers than Nick. Both of them sold some of their staplers. Gabriel sold 20% more staplers than what Nick sold. In the end, Gabriel had half as many staplers left as Nick. How many staplers had Gabriel left?
|
Nick (1) |
Gabriel (2) |
Make p the same (2)x2 = (3) |
Comparing Nick and Gabriel at first |
5 more |
|
|
Before |
31 |
26 |
52 |
Change |
- 5 u |
- 6 u |
- 12 u |
After |
2 p |
1 p |
2 p |
Number of staplers that Gabriel had at first
= (57 - 5) ÷ 2
= 52 ÷ 2
= 26
Number of staplers that Nick had at first
= 26 + 5
= 31
Number of staplers that Gabriel sold in percent
= 100% + 20%
= 120%
120% =
120100 =
65 Make p the same.
(1) = (3)
31 - 5 u = 52 - 12 u
12 u - 5 u = 52 - 31
7 u = 21
1 u = 21 ÷ 7 = 3
Number of staplers that Gabriel had left
= 26 - 6 u
= 26 - 6 x 3
= 26 - 18
= 8
Answer(s): 8