Mrs Loo gave Xandra and Diana some money each on Monday. On Tuesday, Xandra gave
13 of the amount she had to Diana. On Wednesday, Diana gave
16 of the amount she had to Xandra. In the end, Xandra had $20 and Diana had $20. How much did Diana had more than Xandra at first?
| |
Xandra |
Diana |
Total |
| Before 1 |
3 u |
? |
$40 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
6 p |
$40 |
| Before 2 |
$20 - 1 p |
6 p |
$40 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$20 |
5 p
($20) |
$40 |
Amount that Diana had in the end = 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Working backwards.
Amount that Xandra had after giving to Diana on Tuesday
= 20 - 1 p
= 20 - 4
= $16
2 u = 16
1 u = 16 ÷ 2 = 8
Amount that Xandra had at first
= 3 u
= 3 x 8
= $24
Total amount that Xandra and Diana had
= 20 + 20
= $40
Amount that Diana had at first
= 40 - 24
= $16
Amount that Xandra had more than Diana
= 24 - 16
= $8
Answer(s): $8
