Jean and Min have some puffs each. If Jean gives Min 4 puffs, Jean will have
89 as many puffs as Min. If Jean gives Min 2 puffs, they will have an equal number of puffs. How many puffs does Jean have at first?
| |
Case 1 |
Case 2 |
| |
Jean |
Min |
Jean |
Min |
| Before |
8 u + 4 |
9 u - 4 |
8.5 u + 2 |
8.5 u - 2 |
| Change |
- 4 |
+ 4 |
- 2 |
+ 2 |
| After |
8 u |
9 u |
8.5 u |
8.5 u |
Total number of puffs that Jean and Min have
= 8 u + 9 u
= 17 u
Number of puffs that Jean and Min each has in the end is the same.
Number of puffs that Jean and Min each has in the end in Case 2
= 17 u ÷ 2
= 8.5 u
Number of puffs that Jean had at first is the same in Case 1 and Case 2.
8.5 u + 2 = 8 u + 4
8.5 u - 8 u = 4 - 2
0.5 u = 2
1 u = 2 ÷ 0.5 = 4
Number of puffs that Jean has
= 8 u + 4
= 8 x 4 + 4
= 32 + 4
= 36
Answer(s): 36
