Natalie had $30 more than Xuan at first. Xuan spent
58 of her money and Natalie spent
23 of her money. Given that they had equal amount of money left, how many much did Xuan have at first?
| |
Natalie |
Xuan |
More |
Before |
8x1 =
8 u |
3x3 =
9 u |
1 u |
Change |
- 5x1 =
- 5 u |
- 2x3 =
- 6 u |
|
After |
3x1 =
3 u |
1x3 =
3 u |
|
Fraction of money that Xuan had left
= 1 -
58 =
38 Fraction of money that Natalie had left
= 1 -
23 =
13 The amount that Natalie and Xuan had left is the same. Make the amount that Natalie and Xuan had left is the same. LCM of 3 and 1 is 3.
Amount that Xuan had at first = 8 u
Amount that Natalie had at first = 9 u
Amount that Natalie had more than Xuan at first
= 9 u - 8 u
= 1 u
= $30
Amount that Xuan had at first
= 8 u
= 8 x 30
= $240
Answer(s): $240
