Mrs Lau gave Winnie and Dana some money each on Wednesday. On Thursday, Winnie gave
14 of the amount she had to Dana. On Friday, Dana gave
16 of the amount she had to Winnie. In the end, Winnie had $36 and Dana had $15. How much did Dana had more than Winnie at first?
| |
Winnie |
Dana |
Total |
| Before 1 |
4 u |
? |
$51 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
6 p |
$51 |
| Before 2 |
$36 - 1 p |
6 p |
$51 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$36 |
5 p
($15) |
$51 |
Amount that Dana had in the end = 5 p
5 p = 15
1 p = 15 ÷ 5 = 3
Working backwards.
Amount that Winnie had after giving to Dana on Thursday
= 36 - 1 p
= 36 - 3
= $33
3 u = 33
1 u = 33 ÷ 3 = 11
Amount that Winnie had at first
= 4 u
= 4 x 11
= $44
Total amount that Winnie and Dana had
= 36 + 15
= $51
Amount that Dana had at first
= 51 - 44
= $7
Amount that Winnie had more than Dana
= 44 - 7
= $37
Answer(s): $37
