Elyse had $423 more than Nicole. Elyse spent
35 of her money and Nicole spent
23 of her money. In the end, Elyse had 3 times as much as Nicole. Find the amount of money Nicole had at first.
|
Elyse |
Nicole |
Comparing Elyse and Nicole at first |
$423 more |
|
Before |
5x3 = 15 u |
3x2 = 6 u |
Change |
- 3x3 = - 9 u |
- 2x2 = - 4 u |
After |
2x3 = 6 u |
1x2 = 2 u |
Comparing Elyse and Nicole in the end |
3x2 = 6 u |
1x2 = 2 u |
The amount that Elyse had in the end is repeated. Make the amount that Elyse had in the end the same. LCM of 3 and 2 is 6.
Amount that Elyse had more than Nicole
= 15 u - 6 u
= 9 u
9 u = 423
1 u = 423 ÷ 9 = 47
Amount that Nicole had at first
= 6 u
= 6 x 47
= $282
Answer(s): $282