Fiona and Xylia have some puffs each. If Fiona gives Xylia 36 puffs, Fiona will have
34 as many puffs as Xylia. If Fiona gives Xylia 6 puffs, they will have an equal number of puffs. How many puffs does Xylia have at first?
| |
Case 1 |
Case 2 |
| |
Fiona |
Xylia |
Fiona |
Xylia |
| Before |
3 u + 36 |
4 u - 36 |
3.5 u + 6 |
3.5 u - 6 |
| Change |
- 36 |
+ 36 |
- 6 |
+ 6 |
| After |
3 u |
4 u |
3.5 u |
3.5 u |
Total number of puffs that Fiona and Xylia have
= 3 u + 4 u
= 7 u
Number of puffs that Fiona and Xylia each has in the end is the same.
Number of puffs that Fiona and Xylia each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of puffs that Fiona had at first is the same in Case 1 and Case 2.
3.5 u + 6 = 3 u + 36
3.5 u - 3 u = 36 - 6
0.5 u = 30
1 u = 30 ÷ 0.5 = 60
Number of puffs that Xylia has
= 4 u - 36
= 4 x 60 - 36
= 240 - 36
= 204
Answer(s): 204
