Mrs Ong gave Shiyun and Emma some money each on Tuesday. On Wednesday, Shiyun gave
16 of the amount she had to Emma. On Thursday, Emma gave
15 of the amount she had to Shiyun. In the end, Shiyun had $64 and Emma had $36. How much did Emma had more than Shiyun at first?
| |
Shiyun |
Emma |
Total |
| Before 1 |
6 u |
? |
$100 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$100 |
| Before 2 |
$64 - 1 p |
5 p |
$100 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$64 |
4 p
($36) |
$100 |
Amount that Emma had in the end = 4 p
4 p = 36
1 p = 36 ÷ 4 = 9
Working backwards.
Amount that Shiyun had after giving to Emma on Wednesday
= 64 - 1 p
= 64 - 9
= $55
5 u = 55
1 u = 55 ÷ 5 = 11
Amount that Shiyun had at first
= 6 u
= 6 x 11
= $66
Total amount that Shiyun and Emma had
= 64 + 36
= $100
Amount that Emma had at first
= 100 - 66
= $34
Amount that Shiyun had more than Emma
= 66 - 34
= $32
Answer(s): $32
