Mrs Yee gave Gwen and Roshel some money each on Monday. On Tuesday, Gwen gave
16 of the amount she had to Roshel. On Wednesday, Roshel gave
15 of the amount she had to Gwen. In the end, Gwen had $66 and Roshel had $24. How much did Roshel had more than Gwen at first?
| |
Gwen |
Roshel |
Total |
| Before 1 |
6 u |
? |
$90 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$90 |
| Before 2 |
$66 - 1 p |
5 p |
$90 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$66 |
4 p
($24) |
$90 |
Amount that Roshel had in the end = 4 p
4 p = 24
1 p = 24 ÷ 4 = 6
Working backwards.
Amount that Gwen had after giving to Roshel on Tuesday
= 66 - 1 p
= 66 - 6
= $60
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Gwen had at first
= 6 u
= 6 x 12
= $72
Total amount that Gwen and Roshel had
= 66 + 24
= $90
Amount that Roshel had at first
= 90 - 72
= $18
Amount that Gwen had more than Roshel
= 72 - 18
= $54
Answer(s): $54
