Mrs Chye gave Xuan and Gabby some money each on Tuesday. On Wednesday, Xuan gave
16 of the amount she had to Gabby. On Thursday, Gabby gave
15 of the amount she had to Xuan. In the end, Xuan had $43 and Gabby had $32. How much did Gabby had more than Xuan at first?
| |
Xuan |
Gabby |
Total |
| Before 1 |
6 u |
? |
$75 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$75 |
| Before 2 |
$43 - 1 p |
5 p |
$75 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$43 |
4 p
($32) |
$75 |
Amount that Gabby had in the end = 4 p
4 p = 32
1 p = 32 ÷ 4 = 8
Working backwards.
Amount that Xuan had after giving to Gabby on Wednesday
= 43 - 1 p
= 43 - 8
= $35
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Xuan had at first
= 6 u
= 6 x 7
= $42
Total amount that Xuan and Gabby had
= 43 + 32
= $75
Amount that Gabby had at first
= 75 - 42
= $33
Amount that Xuan had more than Gabby
= 42 - 33
= $9
Answer(s): $9
