Ben and Rael had 85 staplers together. Ben had 7 more staplers than Rael. Both of them sold some of their staplers. Rael sold 10% less staplers than what Ben sold. In the end, Rael had half as many staplers left as Ben. How many staplers had Ben left?
|
Ben (1) |
Rael (2) |
Make p the same (2)x2 = (3) |
Comparing Ben and Rael at first |
7 more |
|
|
Before |
46 |
39 |
78 |
Change |
- 10 u |
- 9 u |
- 18 u |
After |
2 p |
1 p |
2 p |
Number of staplers that Rael had at first
= (85 - 7) ÷ 2
= 78 ÷ 2
= 39
Number of staplers that Ben had at first
= 39 + 7
= 46
Number of staplers that Rael sold in percent
= 100% - 10%
= 90%
90% =
90100 =
910 Make p the same.
(1) = (3)
46 - 10 u = 78 - 18 u
18 u - 10 u = 78 - 46
8 u = 32
1 u = 32 ÷ 8 = 4
Number of staplers that Ben had left
= 46 - 10 u
= 46 - 10 x 4
= 46 - 40
= 6
Answer(s): 6