Winnie had $340 less than Xylia. Xylia spent
58 of her money and Winnie spent
45 of her money. In the end, Xylia had 4 times as much as Winnie. Find the amount of money Xylia had at first.
|
Xylia |
Winnie |
Comparing Xylia and Winnie at first |
$340 more |
|
Before |
8x4 = 32 u |
5x3 = 15 u |
Change |
- 5x4 = - 20 u |
- 4x3 = - 12 u |
After |
3x4 = 12 u |
1x3 = 3 u |
Comparing Xylia and Winnie in the end |
4x3 = 12 u |
1x3 = 3 u |
The amount that Xylia had in the end is repeated. Make the amount that Xylia had in the end the same. LCM of 4 and 3 is 12.
Amount that Winnie had less than Xylia
= 32 u - 15 u
= 17 u
17 u = 340
1 u = 340 ÷ 17 = 20
Amount that Xylia had at first
= 32 u
= 32 x 20
= $640
Answer(s): $640