Marion, Hazel and Jen had a sum of money. The amount of money Marion had was
25 of the amount of money Hazel had. The ratio of the amount of money Hazel had to the total amount of money Jen and Hazel had was 2: 5. After Jen gave $75 to Hazel, she had as much money as Hazel. How much more money did Jen have than Marion in the end?
Marion |
Hazel |
Jen |
2x2 = 4 u |
5x2 = 10 u |
|
|
2x5 = 10 u |
3x5 = 15 u |
4 u |
10 u |
15 u |
The amount that Hazel had is the repeated identity. Make the amount that Hazel had the same. LCM of 5 and 2 is 10.
|
Marion |
Hazel |
Jen |
Before |
4 u |
10 u |
15 u |
Change |
No change |
+ 75 |
- 75 |
After |
4 u |
10 u + 75 |
15 u - 75 |
The amount that Jen and Hazel had in the end is the same.
15 u - 75 = 10 u + 75
15 u - 10 u = 75 + 75
5 u = 150
1 u = 150 ÷ 5 = 30
Amount that Jen had more than Marion in the end
= 15 u - 75 - 4 u
= 11 u - 75
= 11 x 30 - 75
= 330 - 75
= $255
Answer(s): $255