Yoko and Betty have some croissants each. If Yoko gives Betty 22 croissants, Yoko will have
16 as many croissants as Betty. If Yoko gives Betty 13 croissants, they will have an equal number of croissants. How many croissants does Yoko have at first?
|
Case 1 |
Case 2 |
|
Yoko |
Betty |
Yoko |
Betty |
Before |
1 u + 22 |
6 u - 22 |
3.5 u + 13 |
3.5 u - 13 |
Change |
- 22 |
+ 22 |
- 13 |
+ 13 |
After |
1 u |
6 u |
3.5 u |
3.5 u |
Total number of croissants that Yoko and Betty have
= 1 u + 6 u
= 7 u
Number of croissants that Yoko and Betty each has in the end is the same.
Number of croissants that Yoko and Betty each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u
Number of croissants that Yoko had at first is the same in Case 1 and Case 2.
3.5 u + 13 = 1 u + 22
3.5 u - 1 u = 22 - 13
0.5 u = 9
1 u = 9 ÷ 0.5 = 18
Number of croissants that Yoko has
= 1 u + 22
= 1 x 18 + 22
= 18 + 22
= 40
Answer(s): 40