Dana had $301 less than Victoria. Victoria spent
47 of her money and Dana spent
67 of her money. In the end, Victoria had 4 times as much as Dana. Find the amount of money Victoria had at first.
|
Victoria |
Dana |
Comparing Victoria and Dana at first |
$301 more |
|
Before |
7x4 = 28 u |
7x3 = 21 u |
Change |
- 4x4 = - 16 u |
- 6x3 = - 18 u |
After |
3x4 = 12 u |
1x3 = 3 u |
Comparing Victoria and Dana in the end |
4x3 = 12 u |
1x3 = 3 u |
The amount that Victoria had in the end is repeated. Make the amount that Victoria had in the end the same. LCM of 4 and 3 is 12.
Amount that Dana had less than Victoria
= 28 u - 21 u
= 7 u
7 u = 301
1 u = 301 ÷ 7 = 43
Amount that Victoria had at first
= 28 u
= 28 x 43
= $1204
Answer(s): $1204