Mrs Fong gave Pamela and Lucy some money each on Thursday. On Friday, Pamela gave
15 of the amount she had to Lucy. On Saturday, Lucy gave
14 of the amount she had to Pamela. In the end, Pamela had $48 and Lucy had $12. How much did Lucy had more than Pamela at first?
| |
Pamela |
Lucy |
Total |
| Before 1 |
5 u |
? |
$60 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
4 p |
$60 |
| Before 2 |
$48 - 1 p |
4 p |
$60 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$48 |
3 p
($12) |
$60 |
Amount that Lucy had in the end = 3 p
3 p = 12
1 p = 12 ÷ 3 = 4
Working backwards.
Amount that Pamela had after giving to Lucy on Friday
= 48 - 1 p
= 48 - 4
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Pamela had at first
= 5 u
= 5 x 11
= $55
Total amount that Pamela and Lucy had
= 48 + 12
= $60
Amount that Lucy had at first
= 60 - 55
= $5
Amount that Pamela had more than Lucy
= 55 - 5
= $50
Answer(s): $50
