Mrs Lu gave Emma and Abi some money each on Tuesday. On Wednesday, Emma gave
15 of the amount she had to Abi. On Thursday, Abi gave
14 of the amount she had to Emma. In the end, Emma had $57 and Abi had $27. How much did Abi had more than Emma at first?
|
Emma |
Abi |
Total |
Before 1 |
5 u |
? |
$84 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
4 u |
4 p |
$84 |
Before 2 |
$57 - 1 p |
4 p |
$84 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$57 |
3 p ($27) |
$84 |
Amount that Abi had in the end = 3 p
3 p = 27
1 p = 27 ÷ 3 = 9
Working backwards.
Amount that Emma had after giving to Abi on Wednesday
= 57 - 1 p
= 57 - 9
= $48
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Emma had at first
= 5 u
= 5 x 12
= $60
Total amount that Emma and Abi had
= 57 + 27
= $84
Amount that Abi had at first
= 84 - 60
= $24
Amount that Emma had more than Abi
= 60 - 24
= $36
Answer(s): $36