Simon and Luke had $105 at first. Simon spent $60 while Luke spent $50 less than him. The amount Luke had left was
23 of the amount Simon had left. How much did Simon have at first?
| |
Simon |
Luke |
Total |
| Before |
2 u + 60 |
3 u + 10 |
105 |
| Change |
- 60 |
- 10 |
|
| After |
2 u |
3 u |
|
Amount that Luke had spent
= 60 - 50
= $10
Total amount that Simon and Luke had at first
= 2 u + 60 + 3 u + 10
= 5 u + 70
5 u + 70 = 105
5 u = 105 - 70
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Simon had at first
= 3 u + 60
= 3 x 7 + 60
= 21 + 60
= $81
Answer(s): $81
