Peter had 3 times as much money as Luke. After Peter had spent one-third of his money, he had $45 more than Luke. How much money did Peter have at first?
| |
Peter |
Luke |
| Before |
3 u |
1 u |
| Change |
- 1 u |
|
| After |
2 u |
1 u |
Amount that Peter had after he spent one-third of his money
= 3 u ÷ 3
= 1 u
Amount that Peter had more than Luke in the end
= 2 u - 1 u
= 1 u
1 u = 45
Amount that Peter had at first
= 3 u
= 3 x 45
= $135
Answer(s): $135
