Perry and Yoko has some money each. If Yoko gives Perry $20, he will have 3 times as much money as her. If Perry gives Yoko $11, he will have the same amount of money as her. How much money does each person have respectively?
- Perry?
- Yoko?
| |
Case 1 |
Case 2 |
| |
Perry |
Yoko |
Perry |
Yoko |
| Before |
3 u - 20 |
1 u + 20 |
2 u + 11 |
2 u - 11 |
| Change |
+ 20 |
- 20 |
- 11 |
+ 11 |
| After |
3 u |
1 u |
2 u |
2 u |
(a)
If Yoko gives Perry some money or Perry gives Yoko some money, the total amount of money remains the same.
Total amount that Perry and Yoko have in the end for both cases
= 3 u + 1 u
= 4 u
Amount that Perry and Yoko each has in the end in Case 2
= 4 u ÷ 2
= 2 u
The amount that Perry has at first in Case 1 and Case 2 is the same.
3 u - 20 = 2 u + 11
3 u - 2 u = 11 + 20
1 u = 31
Amount that Perry has
= 2 u + 11
= 2 x 31 + 11
= 62 + 11
= $73
(b)
Amount that Yoko has
= 1 u + 20
= 31 + 20
= $51
Answer(s): (a) $73; (b) $51
