Mrs Kok gave Elyse and Jean some money each on Tuesday. On Wednesday, Elyse gave
15 of the amount she had to Jean. On Thursday, Jean gave
13 of the amount she had to Elyse. In the end, Elyse had $19 and Jean had $6. How much did Jean had more than Elyse at first?
| |
Elyse |
Jean |
Total |
| Before 1 |
5 u |
? |
$25 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
3 p |
$25 |
| Before 2 |
$19 - 1 p |
3 p |
$25 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$19 |
2 p
($6) |
$25 |
Amount that Jean had in the end = 2 p
2 p = 6
1 p = 6 ÷ 2 = 3
Working backwards.
Amount that Elyse had after giving to Jean on Wednesday
= 19 - 1 p
= 19 - 3
= $16
4 u = 16
1 u = 16 ÷ 4 = 4
Amount that Elyse had at first
= 5 u
= 5 x 4
= $20
Total amount that Elyse and Jean had
= 19 + 6
= $25
Amount that Jean had at first
= 25 - 20
= $5
Amount that Elyse had more than Jean
= 20 - 5
= $15
Answer(s): $15
