Jane had $22 more than Gem at first. Gem spent
58 of her money and Jane spent
23 of her money. Given that they had equal amount of money left, how many much did Gem have at first?
| |
Jane |
Gem |
More |
Before |
8x1 =
8 u |
3x3 =
9 u |
1 u |
Change |
- 5x1 =
- 5 u |
- 2x3 =
- 6 u |
|
After |
3x1 =
3 u |
1x3 =
3 u |
|
Fraction of money that Gem had left
= 1 -
58 =
38 Fraction of money that Jane had left
= 1 -
23 =
13 The amount that Jane and Gem had left is the same. Make the amount that Jane and Gem had left is the same. LCM of 3 and 1 is 3.
Amount that Gem had at first = 8 u
Amount that Jane had at first = 9 u
Amount that Jane had more than Gem at first
= 9 u - 8 u
= 1 u
= $22
Amount that Gem had at first
= 8 u
= 8 x 22
= $176
Answer(s): $176
