Mrs Toh gave Shiyun and Linda some money each on Monday. On Tuesday, Shiyun gave
16 of the amount she had to Linda. On Wednesday, Linda gave
14 of the amount she had to Shiyun. In the end, Shiyun had $56 and Linda had $33. How much did Linda had more than Shiyun at first?
|
Shiyun |
Linda |
Total |
Before 1 |
6 u |
? |
$89 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
5 u |
4 p |
$89 |
Before 2 |
$56 - 1 p |
4 p |
$89 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$56 |
3 p ($33) |
$89 |
Amount that Linda had in the end = 3 p
3 p = 33
1 p = 33 ÷ 3 = 11
Working backwards.
Amount that Shiyun had after giving to Linda on Tuesday
= 56 - 1 p
= 56 - 11
= $45
5 u = 45
1 u = 45 ÷ 5 = 9
Amount that Shiyun had at first
= 6 u
= 6 x 9
= $54
Total amount that Shiyun and Linda had
= 56 + 33
= $89
Amount that Linda had at first
= 89 - 54
= $35
Amount that Shiyun had more than Linda
= 54 - 35
= $19
Answer(s): $19