Luke had 8 times as much money as Fred. After Luke had spent half of his money, he had $45 more than Fred. How much money did Luke have at first?
| |
Luke |
Fred |
| Before |
8 u |
1 u |
| Change |
- 4 u |
|
| After |
4 u |
1 u |
Amount that Luke had after he spent half of his money
= 8 u ÷ 2
= 4 u
Amount that Luke had more than Fred in the end
= 4 u - 1 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that Luke had at first
= 8 u
= 8 x 45
= $360
Answer(s): $360
