Gem had $105 less than Victoria. Victoria gave
23 of her money to Gem. Gem then gave 20% of her money to Victoria. In the end, Gem had $115 more than Victoria. How much did Gem have at first?
| |
Victoria |
Gem |
| Comparing Victoria and Gem at first |
105 more |
|
| Before |
3 u |
+ 105 |
3 u |
|
| Change 1 |
- 2 u |
- 70 |
+ 2 u |
+ 70 |
| After 1 |
1 u |
+ 35 |
5 u |
+ 70 |
| Change 2 |
+ 1 u |
+ 14 |
- 1 u |
- 14 |
| After 2 |
2 u |
+ 49 |
4 u |
+ 56 |
23 x 105= 70
105 - 70 = 35
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 70
=
20100 x 70
= 14
70 - 14 = 56
35 + 14 = 49
If Victoria received another $115 in the end, Victoria and Gem would have the same amount of money.
4 u + 56 = 2 u + 49 + 115
4 u - 2 u = 49 + 115 - 56
2 u = 108
1 u = 108 ÷ 2 = 54
Amount that Gem had at first
= 3 u
= 3 x 54
= $162
Answer(s): $162
