Diana had $435 less than Rael. Rael spent 0.6 of his money and Diana spent 0.2 of her money. In the end, Rael and Diana had the same amount of money left. Find the amount of money Diana had at first.
| |
Diana |
Rael |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Rael's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Diana's amount left
= 1 -
15 =
45 The amount that Rael and Diana each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Rael's amount =
45 of Diana's amount
410 of Rael's amount =
45 of Diana's amount
Amount that Diana had less than Rael
= 10 u - 5 u
= 5 u
5 u = 435
1 u = 435 ÷ 5 = 87
Amount that Diana had at first
= 5 u
= 5 x 87
= $435
Answer(s): $435
