Joelle and Dana have some puffs each. If Joelle gives Dana 8 puffs, Joelle will have
29 as many puffs as Dana. If Joelle gives Dana 2 puffs, they will have an equal number of puffs. How many puffs does Joelle have at first?
| |
Case 1 |
Case 2 |
| |
Joelle |
Dana |
Joelle |
Dana |
| Before |
2 u + 8 |
9 u - 8 |
5.5 u + 2 |
5.5 u - 2 |
| Change |
- 8 |
+ 8 |
- 2 |
+ 2 |
| After |
2 u |
9 u |
5.5 u |
5.5 u |
Total number of puffs that Joelle and Dana have
= 2 u + 9 u
= 11 u
Number of puffs that Joelle and Dana each has in the end is the same.
Number of puffs that Joelle and Dana each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u
Number of puffs that Joelle had at first is the same in Case 1 and Case 2.
5.5 u + 2 = 2 u + 8
5.5 u - 2 u = 8 - 2
0.5 u = 6
1 u = 6 ÷ 0.5 = 12
Number of puffs that Joelle has
= 2 u + 8
= 2 x 12 + 8
= 24 + 8
= 32
Answer(s): 32
