Luke and Ivan had $112 at first. Luke spent $37 while Ivan spent $32 less than him. The amount Ivan had left was
23 of the amount Luke had left. How much did Luke have at first?
| |
Luke |
Ivan |
Total |
| Before |
2 u + 37 |
3 u + 5 |
112 |
| Change |
- 37 |
- 5 |
|
| After |
2 u |
3 u |
|
Amount that Ivan had spent
= 37 - 32
= $5
Total amount that Luke and Ivan had at first
= 2 u + 37 + 3 u + 5
= 5 u + 42
5 u + 42 = 112
5 u = 112 - 42
5 u = 70
1 u = 70 ÷ 5 = 14
Amount that Luke had at first
= 3 u + 37
= 3 x 14 + 37
= 42 + 37
= $79
Answer(s): $79
