Mrs Toh gave Roshel and Yen some money each on Monday. On Tuesday, Roshel gave
16 of the amount she had to Yen. On Wednesday, Yen gave
14 of the amount she had to Roshel. In the end, Roshel had $51 and Yen had $33. How much did Yen had more than Roshel at first?
| |
Roshel |
Yen |
Total |
| Before 1 |
6 u |
? |
$84 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
4 p |
$84 |
| Before 2 |
$51 - 1 p |
4 p |
$84 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$51 |
3 p
($33) |
$84 |
Amount that Yen had in the end = 3 p
3 p = 33
1 p = 33 ÷ 3 = 11
Working backwards.
Amount that Roshel had after giving to Yen on Tuesday
= 51 - 1 p
= 51 - 11
= $40
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Roshel had at first
= 6 u
= 6 x 8
= $48
Total amount that Roshel and Yen had
= 51 + 33
= $84
Amount that Yen had at first
= 84 - 48
= $36
Amount that Roshel had more than Yen
= 48 - 36
= $12
Answer(s): $12
