Jane had $420 less than Gem. Gem gave
35 of her money to Jane. Jane then gave 25% of her money to Gem. In the end, Jane had $164 more than Gem. How much did Jane have at first?
| |
Gem |
Jane |
| Comparing Gem and Jane at first |
420 more |
|
| Before |
5 u |
+ 420 |
5 u |
|
| Change 1 |
- 3 u |
- 252 |
+ 3 u |
+ 252 |
| After 1 |
2 u |
+ 168 |
8 u |
+ 252 |
| Change 2 |
+ 2 u |
+ 63 |
- 2 u |
- 63 |
| After 2 |
4 u |
+ 231 |
6 u |
+ 189 |
35 x 420= 252
420 - 252 = 168
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 252
=
25100 x 252
= 63
252 - 63 = 189
168 + 63 = 231
If Gem received another $164 in the end, Gem and Jane would have the same amount of money.
6 u + 189 = 4 u + 231 + 164
6 u - 4 u = 231 + 164 - 189
2 u = 206
1 u = 206 ÷ 2 = 103
Amount that Jane had at first
= 5 u
= 5 x 103
= $515
Answer(s): $515
