Mrs Tan gave Jane and Gem some money each on Monday. On Tuesday, Jane gave
15 of the amount she had to Gem. On Wednesday, Gem gave
16 of the amount she had to Jane. In the end, Jane had $58 and Gem had $50. How much did Gem had more than Jane at first?
| |
Jane |
Gem |
Total |
| Before 1 |
5 u |
? |
$108 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
4 u |
6 p |
$108 |
| Before 2 |
$58 - 1 p |
6 p |
$108 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$58 |
5 p
($50) |
$108 |
Amount that Gem had in the end = 5 p
5 p = 50
1 p = 50 ÷ 5 = 10
Working backwards.
Amount that Jane had after giving to Gem on Tuesday
= 58 - 1 p
= 58 - 10
= $48
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Jane had at first
= 5 u
= 5 x 12
= $60
Total amount that Jane and Gem had
= 58 + 50
= $108
Amount that Gem had at first
= 108 - 60
= $48
Amount that Jane had more than Gem
= 60 - 48
= $12
Answer(s): $12
