Nora had $340 less than Luke. Luke spent 0.8 of his money and Nora spent 0.4 of her money. In the end, Luke and Nora had the same amount of money left. Find the amount of money Nora had at first.
| |
Nora |
Luke |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Luke's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Nora's amount left
= 1 -
25 =
35 The amount that Luke and Nora each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Luke's amount =
35 of Nora's amount
315 of Luke's amount =
35 of Nora's amount
Amount that Nora had less than Luke
= 15 u - 5 u
= 10 u
10 u = 340
1 u = 340 ÷ 10 = 34
Amount that Nora had at first
= 5 u
= 5 x 34
= $170
Answer(s): $170
