Dana had $420 more than Gillian. Dana spent 0.8 of her money and Gillian spent 10% of her money. In the end, Dana and Gillian had the same amount of money left. Find the amount of money that Dana had in the end.
| |
Dana |
Gillian |
Comparing Dana
and Gillian at first |
420 more |
|
| Before |
5x9 =
45 u |
10x1 =
10 u |
| Change |
- 4x9 =
- 36 u |
- 1x1 =
- 1 u |
| After |
1x9 =
9 u |
9x1 =
9 u |
0.8 =
810 =
45 10% =
10100 =
110 Dana and Gillian had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 1 and 9 is 9.
Amount that Dana had more than Gillian at first
= 45 u - 10 u
= 35 u
35 u = 420
1 u = 420 ÷ 35 = 12
Amount that Dana had in the end
= 9 u
= 9 x 12
= $108
Answer(s): $108
