Hilda had $320 less than Oliver. Oliver spent 0.6 of his money and Hilda spent 0.4 of her money. In the end, Oliver and Hilda had the same amount of money left. Find the amount of money Hilda had at first.
| |
Hilda |
Oliver |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Oliver's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Hilda's amount left
= 1 -
25 =
35 The amount that Oliver and Hilda each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Oliver's amount =
35 of Hilda's amount
615 of Oliver's amount =
610 of Hilda's amount
Amount that Hilda had less than Oliver
= 15 u - 10 u
= 5 u
5 u = 320
1 u = 320 ÷ 5 = 64
Amount that Hilda had at first
= 10 u
= 10 x 64
= $640
Answer(s): $640
