Lucy had $60 less than Olivia. Olivia spent
38 of her money and Lucy spent
56 of her money. In the end, Olivia had 4 times as much as Lucy. Find the amount of money Olivia had at first.
| |
Olivia |
Lucy |
Comparing Olivia
and Lucy at first |
$60 more |
|
| Before |
8x4 =
32 u |
6x5 =
30 u |
| Change |
- 3x4 =
- 12 u |
- 5x5 =
- 25 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Olivia
and Lucy in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Olivia had in the end is repeated. Make the amount that Olivia had in the end the same. LCM of 4 and 5 is 20.
Amount that Lucy had less than Olivia
= 32 u - 30 u
= 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Amount that Olivia had at first
= 32 u
= 32 x 30
= $960
Answer(s): $960
