Mrs Chen gave Betty and Abi some money each on Wednesday. On Thursday, Betty gave
15 of the amount she had to Abi. On Friday, Abi gave
16 of the amount she had to Betty. In the end, Betty had $48 and Abi had $20. How much did Abi had more than Betty at first?
| |
Betty |
Abi |
Total |
| Before 1 |
5 u |
? |
$68 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$68 |
| Before 2 |
$48 - 1 p |
6 p |
$68 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$48 |
5 p
($20) |
$68 |
Amount that Abi had in the end = 5 p
5 p = 20
1 p = 20 ÷ 5 = 4
Working backwards.
Amount that Betty had after giving to Abi on Thursday
= 48 - 1 p
= 48 - 4
= $44
4 u = 44
1 u = 44 ÷ 4 = 11
Amount that Betty had at first
= 5 u
= 5 x 11
= $55
Total amount that Betty and Abi had
= 48 + 20
= $68
Amount that Abi had at first
= 68 - 55
= $13
Amount that Betty had more than Abi
= 55 - 13
= $42
Answer(s): $42
