Mrs Chen gave Kathy and Fiona some money each on Wednesday. On Thursday, Kathy gave
16 of the amount she had to Fiona. On Friday, Fiona gave
14 of the amount she had to Kathy. In the end, Kathy had $25 and Fiona had $15. How much did Fiona had more than Kathy at first?
| |
Kathy |
Fiona |
Total |
| Before 1 |
6 u |
? |
$40 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
4 p |
$40 |
| Before 2 |
$25 - 1 p |
4 p |
$40 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$25 |
3 p
($15) |
$40 |
Amount that Fiona had in the end = 3 p
3 p = 15
1 p = 15 ÷ 3 = 5
Working backwards.
Amount that Kathy had after giving to Fiona on Thursday
= 25 - 1 p
= 25 - 5
= $20
5 u = 20
1 u = 20 ÷ 5 = 4
Amount that Kathy had at first
= 6 u
= 6 x 4
= $24
Total amount that Kathy and Fiona had
= 25 + 15
= $40
Amount that Fiona had at first
= 40 - 24
= $16
Amount that Kathy had more than Fiona
= 24 - 16
= $8
Answer(s): $8
