Gem had $19 more than Diana at first. Diana spent
35 of her money and Gem spent
23 of her money. Given that they had equal amount of money left, how many much did Diana have at first?
| |
Gem |
Diana |
More |
Before |
5x1 =
5 u |
3x2 =
6 u |
1 u |
Change |
- 3x1 =
- 3 u |
- 2x2 =
- 4 u |
|
After |
2x1 =
2 u |
1x2 =
2 u |
|
Fraction of money that Diana had left
= 1 -
35 =
25 Fraction of money that Gem had left
= 1 -
23 =
13 The amount that Gem and Diana had left is the same. Make the amount that Gem and Diana had left is the same. LCM of 2 and 1 is 2.
Amount that Diana had at first = 5 u
Amount that Gem had at first = 6 u
Amount that Gem had more than Diana at first
= 6 u - 5 u
= 1 u
= $19
Amount that Diana had at first
= 5 u
= 5 x 19
= $95
Answer(s): $95
