Mrs Leow gave Wendy and Anna some money each on Tuesday. On Wednesday, Wendy gave
15 of the amount she had to Anna. On Thursday, Anna gave
13 of the amount she had to Wendy. In the end, Wendy had $21 and Anna had $10. How much did Anna had more than Wendy at first?
|
Wendy |
Anna |
Total |
Before 1 |
5 u |
? |
$31 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
4 u |
3 p |
$31 |
Before 2 |
$21 - 1 p |
3 p |
$31 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$21 |
2 p ($10) |
$31 |
Amount that Anna had in the end = 2 p
2 p = 10
1 p = 10 ÷ 2 = 5
Working backwards.
Amount that Wendy had after giving to Anna on Wednesday
= 21 - 1 p
= 21 - 5
= $16
4 u = 16
1 u = 16 ÷ 4 = 4
Amount that Wendy had at first
= 5 u
= 5 x 4
= $20
Total amount that Wendy and Anna had
= 21 + 10
= $31
Amount that Anna had at first
= 31 - 20
= $11
Amount that Wendy had more than Anna
= 20 - 11
= $9
Answer(s): $9