Mrs Lu gave Eva and Emma some money each on Wednesday. On Thursday, Eva gave
15 of the amount she had to Emma. On Friday, Emma gave
13 of the amount she had to Eva. In the end, Eva had $48 and Emma had $8. How much did Emma had more than Eva at first?
| |
Eva |
Emma |
Total |
| Before 1 |
5 u |
? |
$56 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
3 p |
$56 |
| Before 2 |
$48 - 1 p |
3 p |
$56 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$48 |
2 p
($8) |
$56 |
Amount that Emma had in the end = 2 p
2 p = 8
1 p = 8 ÷ 2 = 4
Working backwards.
Amount that Eva had after giving to Emma on Thursday
= 48 - 1 p
= 48 - 4
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Eva had at first
= 5 u
= 5 x 11
= $55
Total amount that Eva and Emma had
= 48 + 8
= $56
Amount that Emma had at first
= 56 - 55
= $1
Amount that Eva had more than Emma
= 55 - 1
= $54
Answer(s): $54
