Mrs Soh gave Nora and Vanessa some money each on Monday. On Tuesday, Nora gave
13 of the amount she had to Vanessa. On Wednesday, Vanessa gave
15 of the amount she had to Nora. In the end, Nora had $11 and Vanessa had $12. How much did Vanessa had more than Nora at first?
|
Nora |
Vanessa |
Total |
Before 1 |
3 u |
? |
$23 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
2 u |
5 p |
$23 |
Before 2 |
$11 - 1 p |
5 p |
$23 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$11 |
4 p ($12) |
$23 |
Amount that Vanessa had in the end = 4 p
4 p = 12
1 p = 12 ÷ 4 = 3
Working backwards.
Amount that Nora had after giving to Vanessa on Tuesday
= 11 - 1 p
= 11 - 3
= $8
2 u = 8
1 u = 8 ÷ 2 = 4
Amount that Nora had at first
= 3 u
= 3 x 4
= $12
Total amount that Nora and Vanessa had
= 11 + 12
= $23
Amount that Vanessa had at first
= 23 - 12
= $11
Amount that Nora had more than Vanessa
= 12 - 11
= $1
Answer(s): $1