Mrs Gan gave Vanessa and Kimberly some money each on Tuesday. On Wednesday, Vanessa gave
14 of the amount she had to Kimberly. On Thursday, Kimberly gave
15 of the amount she had to Vanessa. In the end, Vanessa had $36 and Kimberly had $24. How much did Kimberly had more than Vanessa at first?
|
Vanessa |
Kimberly |
Total |
Before 1 |
4 u |
? |
$60 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
3 u |
5 p |
$60 |
Before 2 |
$36 - 1 p |
5 p |
$60 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$36 |
4 p ($24) |
$60 |
Amount that Kimberly had in the end = 4 p
4 p = 24
1 p = 24 ÷ 4 = 6
Working backwards.
Amount that Vanessa had after giving to Kimberly on Wednesday
= 36 - 1 p
= 36 - 6
= $30
3 u = 30
1 u = 30 ÷ 3 = 10
Amount that Vanessa had at first
= 4 u
= 4 x 10
= $40
Total amount that Vanessa and Kimberly had
= 36 + 24
= $60
Amount that Kimberly had at first
= 60 - 40
= $20
Amount that Vanessa had more than Kimberly
= 40 - 20
= $20
Answer(s): $20