Olivia had $400 less than Carl. Carl spent 0.8 of his money and Olivia spent 0.4 of her money. In the end, Carl and Olivia had the same amount of money left. Find the amount of money Olivia had at first.
| |
Olivia |
Carl |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Carl's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Olivia's amount left
= 1 -
25 =
35 The amount that Carl and Olivia each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Carl's amount =
35 of Olivia's amount
315 of Carl's amount =
35 of Olivia's amount
Amount that Olivia had less than Carl
= 15 u - 5 u
= 10 u
10 u = 400
1 u = 400 ÷ 10 = 40
Amount that Olivia had at first
= 5 u
= 5 x 40
= $200
Answer(s): $200
