Mrs Lee gave Elyse and Lucy some money each on Wednesday. On Thursday, Elyse gave
16 of the amount she had to Lucy. On Friday, Lucy gave
15 of the amount she had to Elyse. In the end, Elyse had $37 and Lucy had $28. How much did Lucy had more than Elyse at first?
| |
Elyse |
Lucy |
Total |
| Before 1 |
6 u |
? |
$65 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
5 u |
5 p |
$65 |
| Before 2 |
$37 - 1 p |
5 p |
$65 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$37 |
4 p
($28) |
$65 |
Amount that Lucy had in the end = 4 p
4 p = 28
1 p = 28 ÷ 4 = 7
Working backwards.
Amount that Elyse had after giving to Lucy on Thursday
= 37 - 1 p
= 37 - 7
= $30
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Elyse had at first
= 6 u
= 6 x 6
= $36
Total amount that Elyse and Lucy had
= 37 + 28
= $65
Amount that Lucy had at first
= 65 - 36
= $29
Amount that Elyse had more than Lucy
= 36 - 29
= $7
Answer(s): $7
