Opal had $450 less than Ken. Ken spent 0.8 of his money and Opal spent 0.4 of her money. In the end, Ken and Opal had the same amount of money left. Find the amount of money Opal had at first.
| |
Opal |
Ken |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Ken's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Opal's amount left
= 1 -
25 =
35 The amount that Ken and Opal each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Ken's amount =
35 of Opal's amount
315 of Ken's amount =
35 of Opal's amount
Amount that Opal had less than Ken
= 15 u - 5 u
= 10 u
10 u = 450
1 u = 450 ÷ 10 = 45
Amount that Opal had at first
= 5 u
= 5 x 45
= $225
Answer(s): $225
