Mrs Ong gave Xandra and Kathy some money each on Thursday. On Friday, Xandra gave
14 of the amount she had to Kathy. On Saturday, Kathy gave
13 of the amount she had to Xandra. In the end, Xandra had $42 and Kathy had $12. How much did Kathy had more than Xandra at first?
| |
Xandra |
Kathy |
Total |
| Before 1 |
4 u |
? |
$54 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
3 u |
3 p |
$54 |
| Before 2 |
$42 - 1 p |
3 p |
$54 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$42 |
2 p
($12) |
$54 |
Amount that Kathy had in the end = 2 p
2 p = 12
1 p = 12 ÷ 2 = 6
Working backwards.
Amount that Xandra had after giving to Kathy on Friday
= 42 - 1 p
= 42 - 6
= $36
3 u = 36
1 u = 36 ÷ 3 = 12
Amount that Xandra had at first
= 4 u
= 4 x 12
= $48
Total amount that Xandra and Kathy had
= 42 + 12
= $54
Amount that Kathy had at first
= 54 - 48
= $6
Amount that Xandra had more than Kathy
= 48 - 6
= $42
Answer(s): $42
