Shiyun had $102 less than Natalie. Natalie spent
35 of her money and Shiyun spent
56 of her money. In the end, Natalie had 3 times as much as Shiyun. Find the amount of money Natalie had at first.
| |
Natalie |
Shiyun |
Comparing Natalie
and Shiyun at first |
$102 more |
|
| Before |
5x3 =
15 u |
6x2 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 5x2 =
- 10 u |
| After |
2x3 =
6 u |
1x2 =
2 u |
Comparing Natalie
and Shiyun in the end |
3x2 =
6 u |
1x2 =
2 u |
The amount that Natalie had in the end is repeated. Make the amount that Natalie had in the end the same. LCM of 3 and 2 is 6.
Amount that Shiyun had less than Natalie
= 15 u - 12 u
= 3 u
3 u = 102
1 u = 102 ÷ 3 = 34
Amount that Natalie had at first
= 15 u
= 15 x 34
= $510
Answer(s): $510
