Jane had $135 more than Ivory. Jane spent
35 of her money and Ivory spent
67 of her money. In the end, Jane had 4 times as much as Ivory. Find the amount of money Ivory had at first.
|
Jane |
Ivory |
Comparing Jane and Ivory at first |
$135 more |
|
Before |
5x2 = 10 u |
7x1 = 7 u |
Change |
- 3x2 = - 6 u |
- 6x1 = - 6 u |
After |
2x2 = 4 u |
1x1 = 1 u |
Comparing Jane and Ivory in the end |
4x1 = 4 u |
1x1 = 1 u |
The amount that Jane had in the end is repeated. Make the amount that Jane had in the end the same. LCM of 4 and 2 is 4.
Amount that Jane had more than Ivory
= 10 u - 7 u
= 3 u
3 u = 135
1 u = 135 ÷ 3 = 45
Amount that Ivory had at first
= 7 u
= 7 x 45
= $315
Answer(s): $315