Sam and Luke had $117 at first. Sam spent $46 while Luke spent $31 less than him. The amount Luke had left was
35 of the amount Sam had left. How much did Sam have at first?
| |
Sam |
Luke |
Total |
| Before |
3 u + 46 |
5 u + 15 |
117 |
| Change |
- 46 |
- 15 |
|
| After |
3 u |
5 u |
|
Amount that Luke had spent
= 46 - 31
= $15
Total amount that Sam and Luke had at first
= 3 u + 46 + 5 u + 15
= 8 u + 61
8 u + 61 = 117
8 u = 117 - 61
8 u = 56
1 u = 56 ÷ 8 = 7
Amount that Sam had at first
= 5 u + 46
= 5 x 7 + 46
= 35 + 46
= $81
Answer(s): $81
