Olivia had $120 more than Xylia. Olivia spent 0.4 of her money and Xylia spent 20% of her money. In the end, Olivia and Xylia had the same amount of money left. Find the amount of money that Olivia had in the end.
| |
Olivia |
Xylia |
Comparing Olivia
and Xylia at first |
120 more |
|
| Before |
5x4 =
20 u |
5x3 =
15 u |
| Change |
- 2x4 =
- 8 u |
- 1x3 =
- 3 u |
| After |
3x4 =
12 u |
4x3 =
12 u |
0.4 =
410 =
25 20% =
20100 =
15 Olivia and Xylia had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 3 and 4 is 12.
Amount that Olivia had more than Xylia at first
= 20 u - 15 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
Amount that Olivia had in the end
= 12 u
= 12 x 24
= $288
Answer(s): $288
