Mrs Sih gave Jane and Elyse some money each on Tuesday. On Wednesday, Jane gave
15 of the amount she had to Elyse. On Thursday, Elyse gave
16 of the amount she had to Jane. In the end, Jane had $44 and Elyse had $20. How much did Elyse had more than Jane at first?
| |
Jane |
Elyse |
Total |
| Before 1 |
5 u |
? |
$64 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$64 |
| Before 2 |
$44 - 1 p |
6 p |
$64 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$44 |
5 p
($20) |
$64 |
Amount that Elyse had in the end = 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Working backwards.
Amount that Jane had after giving to Elyse on Wednesday
= 44 - 1 p
= 44 - 4
= $40
4 u = 40
1 u = 40 ÷ 4 = 10
Amount that Jane had at first
= 5 u
= 5 x 10
= $50
Total amount that Jane and Elyse had
= 44 + 20
= $64
Amount that Elyse had at first
= 64 - 50
= $14
Amount that Jane had more than Elyse
= 50 - 14
= $36
Answer(s): $36
