Mrs Sih gave Esther and Gabby some money each on Tuesday. On Wednesday, Esther gave
15 of the amount she had to Gabby. On Thursday, Gabby gave
14 of the amount she had to Esther. In the end, Esther had $30 and Gabby had $18. How much did Gabby had more than Esther at first?
| |
Esther |
Gabby |
Total |
| Before 1 |
5 u |
? |
$48 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
4 p |
$48 |
| Before 2 |
$30 - 1 p |
4 p |
$48 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$30 |
3 p
($18) |
$48 |
Amount that Gabby had in the end = 3 p
3 p = 18
1 p = 18 ÷ 3 = 6
Working backwards.
Amount that Esther had after giving to Gabby on Wednesday
= 30 - 1 p
= 30 - 6
= $24
4 u = 24
1 u = 24 ÷ 4 = 6
Amount that Esther had at first
= 5 u
= 5 x 6
= $30
Total amount that Esther and Gabby had
= 30 + 18
= $48
Amount that Gabby had at first
= 48 - 30
= $18
Amount that Esther had more than Gabby
= 30 - 18
= $12
Answer(s): $12
