Eva, Pamela and Irene had a sum of money. The amount of money Eva had was
45 of the amount of money Pamela had. The ratio of the amount of money Pamela had to the total amount of money Irene and Pamela had was 3: 8. After Irene gave $80 to Pamela, she had as much money as Pamela. How much more money did Irene have than Eva in the end?
Eva |
Pamela |
Irene |
4x3 = 12 u |
5x3 = 15 u |
|
|
3x5 = 15 u |
5x5 = 25 u |
12 u |
15 u |
25 u |
The amount that Pamela had is the repeated identity. Make the amount that Pamela had the same. LCM of 5 and 3 is 15.
|
Eva |
Pamela |
Irene |
Before |
12 u |
15 u |
25 u |
Change |
No change |
+ 80 |
- 80 |
After |
12 u |
15 u + 80 |
25 u - 80 |
The amount that Irene and Pamela had in the end is the same.
25 u - 80 = 15 u + 80
25 u - 15 u = 80 + 80
10 u = 160
1 u = 160 ÷ 10 = 16
Amount that Irene had more than Eva in the end
= 25 u - 80 - 12 u
= 13 u - 80
= 13 x 16 - 80
= 208 - 80
= $128
Answer(s): $128