Mrs Lu gave Winnie and Jean some money each on Tuesday. On Wednesday, Winnie gave
15 of the amount she had to Jean. On Thursday, Jean gave
16 of the amount she had to Winnie. In the end, Winnie had $46 and Jean had $30. How much did Jean had more than Winnie at first?
| |
Winnie |
Jean |
Total |
| Before 1 |
5 u |
? |
$76 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$76 |
| Before 2 |
$46 - 1 p |
6 p |
$76 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$46 |
5 p
($30) |
$76 |
Amount that Jean had in the end = 5 p
5 p = 30
1 p = 30 ÷ 5 = 6
Working backwards.
Amount that Winnie had after giving to Jean on Wednesday
= 46 - 1 p
= 46 - 6
= $40
4 u = 40
1 u = 40 ÷ 4 = 10
Amount that Winnie had at first
= 5 u
= 5 x 10
= $50
Total amount that Winnie and Jean had
= 46 + 30
= $76
Amount that Jean had at first
= 76 - 50
= $26
Amount that Winnie had more than Jean
= 50 - 26
= $24
Answer(s): $24
