Gillian and Yoko have some croissants each. If Gillian gives Yoko 24 croissants, Gillian will have
23 as many croissants as Yoko. If Gillian gives Yoko 16 croissants, they will have an equal number of croissants. How many croissants does Gillian have at first?
|
Case 1 |
Case 2 |
|
Gillian |
Yoko |
Gillian |
Yoko |
Before |
2 u + 24 |
3 u - 24 |
2.5 u + 16 |
2.5 u - 16 |
Change |
- 24 |
+ 24 |
- 16 |
+ 16 |
After |
2 u |
3 u |
2.5 u |
2.5 u |
Total number of croissants that Gillian and Yoko have
= 2 u + 3 u
= 5 u
Number of croissants that Gillian and Yoko each has in the end is the same.
Number of croissants that Gillian and Yoko each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of croissants that Gillian had at first is the same in Case 1 and Case 2.
2.5 u + 16 = 2 u + 24
2.5 u - 2 u = 24 - 16
0.5 u = 8
1 u = 8 ÷ 0.5 = 16
Number of croissants that Gillian has
= 2 u + 24
= 2 x 16 + 24
= 32 + 24
= 56
Answer(s): 56