Yoko and Risa have some shortbreads each. If Yoko gives Risa 21 shortbreads, Yoko will have
14 as many shortbreads as Risa. If Yoko gives Risa 9 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Risa have at first?
|
Case 1 |
Case 2 |
|
Yoko |
Risa |
Yoko |
Risa |
Before |
1 u + 21 |
4 u - 21 |
2.5 u + 9 |
2.5 u - 9 |
Change |
- 21 |
+ 21 |
- 9 |
+ 9 |
After |
1 u |
4 u |
2.5 u |
2.5 u |
Total number of shortbreads that Yoko and Risa have
= 1 u + 4 u
= 5 u
Number of shortbreads that Yoko and Risa each has in the end is the same.
Number of shortbreads that Yoko and Risa each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of shortbreads that Yoko had at first is the same in Case 1 and Case 2.
2.5 u + 9 = 1 u + 21
2.5 u - 1 u = 21 - 9
0.5 u = 12
1 u = 12 ÷ 0.5 = 24
Number of shortbreads that Risa has
= 4 u - 21
= 4 x 24 - 21
= 96 - 21
= 75
Answer(s): 75