Mrs Chia gave Xylia and Anna some money each on Tuesday. On Wednesday, Xylia gave
15 of the amount she had to Anna. On Thursday, Anna gave
13 of the amount she had to Xylia. In the end, Xylia had $14 and Anna had $4. How much did Anna had more than Xylia at first?
| |
Xylia |
Anna |
Total |
| Before 1 |
5 u |
? |
$18 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
3 p |
$18 |
| Before 2 |
$14 - 1 p |
3 p |
$18 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$14 |
2 p
($4) |
$18 |
Amount that Anna had in the end = 2 p
2 p = 4
1 p = 4 ÷ 2 = 2
Working backwards.
Amount that Xylia had after giving to Anna on Wednesday
= 14 - 1 p
= 14 - 2
= $12
4 u = 12
1 u = 12 ÷ 4 = 3
Amount that Xylia had at first
= 5 u
= 5 x 3
= $15
Total amount that Xylia and Anna had
= 14 + 4
= $18
Amount that Anna had at first
= 18 - 15
= $3
Amount that Xylia had more than Anna
= 15 - 3
= $12
Answer(s): $12
