Mrs Lu gave Marion and Esther some money each on Tuesday. On Wednesday, Marion gave
16 of the amount she had to Esther. On Thursday, Esther gave
13 of the amount she had to Marion. In the end, Marion had $62 and Esther had $4. How much did Esther had more than Marion at first?
|
Marion |
Esther |
Total |
Before 1 |
6 u |
? |
$66 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
5 u |
3 p |
$66 |
Before 2 |
$62 - 1 p |
3 p |
$66 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$62 |
2 p ($4) |
$66 |
Amount that Esther had in the end = 2 p
2 p = 4
1 p = 4 ÷ 2 = 2
Working backwards.
Amount that Marion had after giving to Esther on Wednesday
= 62 - 1 p
= 62 - 2
= $60
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Marion had at first
= 6 u
= 6 x 12
= $72
Total amount that Marion and Esther had
= 62 + 4
= $66
Amount that Esther had at first
= 66 - 72
= $-6
Amount that Marion had more than Esther
= 72 - -6
= $78
Answer(s): $78