Mrs Oh gave Xuan and Elyse some money each on Thursday. On Friday, Xuan gave
14 of the amount she had to Elyse. On Saturday, Elyse gave
13 of the amount she had to Xuan. In the end, Xuan had $48 and Elyse had $24. How much did Elyse had more than Xuan at first?
| |
Xuan |
Elyse |
Total |
| Before 1 |
4 u |
? |
$72 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
3 p |
$72 |
| Before 2 |
$48 - 1 p |
3 p |
$72 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$48 |
2 p
($24) |
$72 |
Amount that Elyse had in the end = 2 p
2 p = 24
1 p = 24 ÷ 2 = 12
Working backwards.
Amount that Xuan had after giving to Elyse on Friday
= 48 - 1 p
= 48 - 12
= $36
3 u = 36
1 u = 36 ÷ 3 = 12
Amount that Xuan had at first
= 4 u
= 4 x 12
= $48
Total amount that Xuan and Elyse had
= 48 + 24
= $72
Amount that Elyse had at first
= 72 - 48
= $24
Amount that Xuan had more than Elyse
= 48 - 24
= $24
Answer(s): $24
