Mrs Yang gave Shiyun and Diana some money each on Tuesday. On Wednesday, Shiyun gave
16 of the amount she had to Diana. On Thursday, Diana gave
15 of the amount she had to Shiyun. In the end, Shiyun had $37 and Diana had $8. How much did Diana had more than Shiyun at first?
| |
Shiyun |
Diana |
Total |
| Before 1 |
6 u |
? |
$45 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$45 |
| Before 2 |
$37 - 1 p |
5 p |
$45 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$37 |
4 p
($8) |
$45 |
Amount that Diana had in the end = 4 p
4 p = 8
1 p = 8 ÷ 4 = 2
Working backwards.
Amount that Shiyun had after giving to Diana on Wednesday
= 37 - 1 p
= 37 - 2
= $35
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Shiyun had at first
= 6 u
= 6 x 7
= $42
Total amount that Shiyun and Diana had
= 37 + 8
= $45
Amount that Diana had at first
= 45 - 42
= $3
Amount that Shiyun had more than Diana
= 42 - 3
= $39
Answer(s): $39
