Wendy had $45 more than Olivia. Wendy spent
27 of her money and Olivia spent
45 of her money. In the end, Wendy had 4 times as much as Olivia. Find the amount of money Olivia had at first.
| |
Wendy |
Olivia |
Comparing Wendy
and Olivia at first |
$45 more |
|
| Before |
7x4 =
28 u |
5x5 =
25 u |
| Change |
- 2x4 =
- 8 u |
- 4x5 =
- 20 u |
| After |
5x4 =
20 u |
1x5 =
5 u |
Comparing Wendy
and Olivia in the end |
4x5 =
20 u |
1x5 =
5 u |
The amount that Wendy had in the end is repeated. Make the amount that Wendy had in the end the same. LCM of 4 and 5 is 20.
Amount that Wendy had more than Olivia
= 28 u - 25 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that Olivia had at first
= 25 u
= 25 x 15
= $375
Answer(s): $375
