Mrs Heng gave Rachel and Dana some money each on Tuesday. On Wednesday, Rachel gave
16 of the amount she had to Dana. On Thursday, Dana gave
13 of the amount she had to Rachel. In the end, Rachel had $65 and Dana had $20. How much did Dana had more than Rachel at first?
| |
Rachel |
Dana |
Total |
| Before 1 |
6 u |
? |
$85 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
3 p |
$85 |
| Before 2 |
$65 - 1 p |
3 p |
$85 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$65 |
2 p
($20) |
$85 |
Amount that Dana had in the end = 2 p
2 p = 20
1 p = 20 ÷ 2 = 10
Working backwards.
Amount that Rachel had after giving to Dana on Wednesday
= 65 - 1 p
= 65 - 10
= $55
5 u = 55
1 u = 55 ÷ 5 = 11
Amount that Rachel had at first
= 6 u
= 6 x 11
= $66
Total amount that Rachel and Dana had
= 65 + 20
= $85
Amount that Dana had at first
= 85 - 66
= $19
Amount that Rachel had more than Dana
= 66 - 19
= $47
Answer(s): $47
