Nicole had $23 more than Sarah at first. Sarah spent
47 of her money and Nicole spent
35 of her money. Given that they had equal amount of money left, how many much did Sarah have at first?
|
Nicole |
Sarah |
More |
Before |
7x2 = 7 u |
5x3 = 15 u |
1 u |
Change |
- 4x2 = - 8 u |
- 3x3 = - 9 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of money that Sarah had left
= 1 -
47 =
37 Fraction of money that Nicole had left
= 1 -
35 =
25 The amount that Nicole and Sarah had left is the same. Make the amount that Nicole and Sarah had left is the same. LCM of 3 and 2 is 6.
Amount that Sarah had at first = 7 u
Amount that Nicole had at first = 15 u
Amount that Nicole had more than Sarah at first
= 15 u - 7 u
= 1 u
= $23
Amount that Sarah had at first
= 7 u
= 7 x 23
= $161
Answer(s): $161