Neave and Yoko has some money each. If Yoko gives Neave $14, he will have 7 times as much money as her. If Neave gives Yoko $16, he will have the same amount of money as her. How much money does each person have respectively?
- Neave?
- Yoko?
| |
Case 1 |
Case 2 |
| |
Neave |
Yoko |
Neave |
Yoko |
| Before |
7 u - 14 |
1 u + 14 |
4 u + 16 |
4 u - 16 |
| Change |
+ 14 |
- 14 |
- 16 |
+ 16 |
| After |
7 u |
1 u |
4 u |
4 u |
(a)
If Yoko gives Neave some money or Neave gives Yoko some money, the total amount of money remains the same.
Total amount that Neave and Yoko have in the end for both cases
= 7 u + 1 u
= 8 u
Amount that Neave and Yoko each has in the end in Case 2
= 8 u ÷ 2
= 4 u
The amount that Neave has at first in Case 1 and Case 2 is the same.
7 u - 14 = 4 u + 16
7 u - 4 u = 16 + 14
1 u = 30
Amount that Neave has
= 4 u + 16
= 4 x 30 + 16
= 120 + 16
= $136
(b)
Amount that Yoko has
= 1 u + 14
= 30 + 14
= $44
Answer(s): (a) $136; (b) $44
