Mrs Chan gave Esther and Rachel some money each on Tuesday. On Wednesday, Esther gave
13 of the amount she had to Rachel. On Thursday, Rachel gave
14 of the amount she had to Esther. In the end, Esther had $8 and Rachel had $6. How much did Rachel had more than Esther at first?
| |
Esther |
Rachel |
Total |
| Before 1 |
3 u |
? |
$14 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
4 p |
$14 |
| Before 2 |
$8 - 1 p |
4 p |
$14 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$8 |
3 p
($6) |
$14 |
Amount that Rachel had in the end = 3 p
3 p = 6
1 p = 6 ÷ 3 = 2
Working backwards.
Amount that Esther had after giving to Rachel on Wednesday
= 8 - 1 p
= 8 - 2
= $6
2 u = 6
1 u = 6 ÷ 2 = 3
Amount that Esther had at first
= 3 u
= 3 x 3
= $9
Total amount that Esther and Rachel had
= 8 + 6
= $14
Amount that Rachel had at first
= 14 - 9
= $5
Amount that Esther had more than Rachel
= 9 - 5
= $4
Answer(s): $4
