Roshel and Yen have some puffs each. If Roshel gives Yen 23 puffs, Roshel will have
38 as many puffs as Yen. If Roshel gives Yen 8 puffs, they will have an equal number of puffs. How many puffs does Yen have at first?
| |
Case 1 |
Case 2 |
| |
Roshel |
Yen |
Roshel |
Yen |
| Before |
3 u + 23 |
8 u - 23 |
5.5 u + 8 |
5.5 u - 8 |
| Change |
- 23 |
+ 23 |
- 8 |
+ 8 |
| After |
3 u |
8 u |
5.5 u |
5.5 u |
Total number of puffs that Roshel and Yen have
= 3 u + 8 u
= 11 u
Number of puffs that Roshel and Yen each has in the end is the same.
Number of puffs that Roshel and Yen each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u
Number of puffs that Roshel had at first is the same in Case 1 and Case 2.
5.5 u + 8 = 3 u + 23
5.5 u - 3 u = 23 - 8
0.5 u = 15
1 u = 15 ÷ 0.5 = 30
Number of puffs that Yen has
= 8 u - 23
= 8 x 30 - 23
= 240 - 23
= 217
Answer(s): 217
