Mrs Koh gave Xylia and Usha some money each on Monday. On Tuesday, Xylia gave
15 of the amount she had to Usha. On Wednesday, Usha gave
14 of the amount she had to Xylia. In the end, Xylia had $50 and Usha had $18. How much did Usha had more than Xylia at first?
| |
Xylia |
Usha |
Total |
| Before 1 |
5 u |
? |
$68 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
4 p |
$68 |
| Before 2 |
$50 - 1 p |
4 p |
$68 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$50 |
3 p
($18) |
$68 |
Amount that Usha had in the end = 3 p
3 p = 18
1 p = 18 ÷ 3 = 6
Working backwards.
Amount that Xylia had after giving to Usha on Tuesday
= 50 - 1 p
= 50 - 6
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Xylia had at first
= 5 u
= 5 x 11
= $55
Total amount that Xylia and Usha had
= 50 + 18
= $68
Amount that Usha had at first
= 68 - 55
= $13
Amount that Xylia had more than Usha
= 55 - 13
= $42
Answer(s): $42
