Nora had $165 more than Luke. Nora spent
23 of her money and Luke spent
37 of his money. In the end, Luke and Nora had the same amount of money left. Find the amount of money Luke had at first.
| |
Nora |
Luke |
More |
Before |
3x4 =
12 u |
7 u |
5 u |
Change |
- 2x4 =
- 8 u |
- 3 u |
|
After |
1x4 =
4 u |
4 u |
|
Fraction of money that Nora left
= 1 -
23 =
13 Fraction of money that Luke left
= 1 -
37 =
47 The amount of money that Luke and Nora had in the end is the same. Make the amount of money that Luke and Nora had in the end the same. LCM of 1 and 4 is 4.
Amount that Nora had more than Luke at first
= 12 u - 7 u
= 5 u
5 u = 165
1 u = 165 ÷ 5 = 33
Amount that Luke had at first
= 7 u
= 7 x 33
= $231
Answer(s): $231
