Mrs Chew gave Shiyun and Lucy some money each on Thursday. On Friday, Shiyun gave
16 of the amount she had to Lucy. On Saturday, Lucy gave
13 of the amount she had to Shiyun. In the end, Shiyun had $48 and Lucy had $16. How much did Lucy had more than Shiyun at first?
| |
Shiyun |
Lucy |
Total |
| Before 1 |
6 u |
? |
$64 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
3 p |
$64 |
| Before 2 |
$48 - 1 p |
3 p |
$64 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$48 |
2 p
($16) |
$64 |
Amount that Lucy had in the end = 2 p
2 p = 16
1 p = 16 ÷ 2 = 8
Working backwards.
Amount that Shiyun had after giving to Lucy on Friday
= 48 - 1 p
= 48 - 8
= $40
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Shiyun had at first
= 6 u
= 6 x 8
= $48
Total amount that Shiyun and Lucy had
= 48 + 16
= $64
Amount that Lucy had at first
= 64 - 48
= $16
Amount that Shiyun had more than Lucy
= 48 - 16
= $32
Answer(s): $32
