Mrs Choo gave Gwen and Elyse some money each on Tuesday. On Wednesday, Gwen gave
15 of the amount she had to Elyse. On Thursday, Elyse gave
13 of the amount she had to Gwen. In the end, Gwen had $52 and Elyse had $16. How much did Elyse had more than Gwen at first?
| |
Gwen |
Elyse |
Total |
| Before 1 |
5 u |
? |
$68 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
3 p |
$68 |
| Before 2 |
$52 - 1 p |
3 p |
$68 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$52 |
2 p
($16) |
$68 |
Amount that Elyse had in the end = 2 p
2 p = 16
1 p = 16 ÷ 2 = 8
Working backwards.
Amount that Gwen had after giving to Elyse on Wednesday
= 52 - 1 p
= 52 - 8
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Gwen had at first
= 5 u
= 5 x 11
= $55
Total amount that Gwen and Elyse had
= 52 + 16
= $68
Amount that Elyse had at first
= 68 - 55
= $13
Amount that Gwen had more than Elyse
= 55 - 13
= $42
Answer(s): $42
