Ivory had $245 more than Irene. Ivory spent
35 of her money and Irene spent
34 of her money. In the end, Ivory had 3 times as much as Irene. Find the amount of money Irene had at first.
|
Ivory |
Irene |
Comparing Ivory and Irene at first |
$245 more |
|
Before |
5x3 = 15 u |
4x2 = 8 u |
Change |
- 3x3 = - 9 u |
- 3x2 = - 6 u |
After |
2x3 = 6 u |
1x2 = 2 u |
Comparing Ivory and Irene in the end |
3x2 = 6 u |
1x2 = 2 u |
The amount that Ivory had in the end is repeated. Make the amount that Ivory had in the end the same. LCM of 3 and 2 is 6.
Amount that Ivory had more than Irene
= 15 u - 8 u
= 7 u
7 u = 245
1 u = 245 ÷ 7 = 35
Amount that Irene had at first
= 8 u
= 8 x 35
= $280
Answer(s): $280