Diana had $405 less than Jeremy. Jeremy spent 0.8 of his money and Diana spent 0.2 of her money. In the end, Jeremy and Diana had the same amount of money left. Find the amount of money Diana had at first.
| |
Diana |
Jeremy |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Jeremy's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Diana's amount left
= 1 -
15 =
45 The amount that Jeremy and Diana each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Jeremy's amount =
45 of Diana's amount
420 of Jeremy's amount =
45 of Diana's amount
Amount that Diana had less than Jeremy
= 20 u - 5 u
= 15 u
15 u = 405
1 u = 405 ÷ 15 = 27
Amount that Diana had at first
= 5 u
= 5 x 27
= $135
Answer(s): $135
