Mrs Cheong gave Gwen and Emma some money each on Tuesday. On Wednesday, Gwen gave
13 of the amount she had to Emma. On Thursday, Emma gave
14 of the amount she had to Gwen. In the end, Gwen had $31 and Emma had $21. How much did Emma had more than Gwen at first?
| |
Gwen |
Emma |
Total |
| Before 1 |
3 u |
? |
$52 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
4 p |
$52 |
| Before 2 |
$31 - 1 p |
4 p |
$52 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$31 |
3 p
($21) |
$52 |
Amount that Emma had in the end = 3 p
3 p = 21
1 p = 21 ÷ 3 = 7
Working backwards.
Amount that Gwen had after giving to Emma on Wednesday
= 31 - 1 p
= 31 - 7
= $24
2 u = 24
1 u = 24 ÷ 2 = 12
Amount that Gwen had at first
= 3 u
= 3 x 12
= $36
Total amount that Gwen and Emma had
= 31 + 21
= $52
Amount that Emma had at first
= 52 - 36
= $16
Amount that Gwen had more than Emma
= 36 - 16
= $20
Answer(s): $20
