Olivia had $430 less than Will. Will spent 0.8 of his money and Olivia spent 0.4 of her money. In the end, Will and Olivia had the same amount of money left. Find the amount of money Olivia had at first.
| |
Olivia |
Will |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Will's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Olivia's amount left
= 1 -
25 =
35 The amount that Will and Olivia each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Will's amount =
35 of Olivia's amount
315 of Will's amount =
35 of Olivia's amount
Amount that Olivia had less than Will
= 15 u - 5 u
= 10 u
10 u = 430
1 u = 430 ÷ 10 = 43
Amount that Olivia had at first
= 5 u
= 5 x 43
= $215
Answer(s): $215
