Perry and Jaslyn has some money each. If Jaslyn gives Perry $11, he will have 5 times as much money as her. If Perry gives Jaslyn $18, he will have the same amount of money as her. How much money does each person have respectively?
- Perry?
- Jaslyn?
|
Case 1 |
Case 2 |
|
Perry |
Jaslyn |
Perry |
Jaslyn |
Before |
5 u - 11 |
1 u + 11 |
3 u + 18 |
3 u - 18 |
Change |
+ 11 |
- 11 |
- 18 |
+ 18 |
After |
5 u |
1 u |
3 u |
3 u |
(a)
If Jaslyn gives Perry some money or Perry gives Jaslyn some money, the total amount of money remains the same.
Total amount that Perry and Jaslyn have in the end for both cases
= 5 u + 1 u
= 6 u
Amount that Perry and Jaslyn each has in the end in Case 2
= 6 u ÷ 2
= 3 u
The amount that Perry has at first in Case 1 and Case 2 is the same.
5 u - 11 = 3 u + 18
5 u - 3 u = 18 + 11
1 u = 29
Amount that Perry has
= 3 u + 18
= 3 x 29 + 18
= 87 + 18
= $105
(b)
Amount that Jaslyn has
= 1 u + 11
= 29 + 11
= $40
Answer(s): (a) $105; (b) $40