Mrs Ma gave Xuan and Nora some money each on Tuesday. On Wednesday, Xuan gave
15 of the amount she had to Nora. On Thursday, Nora gave
13 of the amount she had to Xuan. In the end, Xuan had $50 and Nora had $4. How much did Nora had more than Xuan at first?
|
Xuan |
Nora |
Total |
Before 1 |
5 u |
? |
$54 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
4 u |
3 p |
$54 |
Before 2 |
$50 - 1 p |
3 p |
$54 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$50 |
2 p ($4) |
$54 |
Amount that Nora had in the end = 2 p
2 p = 4
1 p = 4 ÷ 2 = 2
Working backwards.
Amount that Xuan had after giving to Nora on Wednesday
= 50 - 1 p
= 50 - 2
= $48
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Xuan had at first
= 5 u
= 5 x 12
= $60
Total amount that Xuan and Nora had
= 50 + 4
= $54
Amount that Nora had at first
= 54 - 60
= $-6
Amount that Xuan had more than Nora
= 60 - -6
= $66
Answer(s): $66