Hazel had $110 more than Luke. Hazel spent
56 of her money and Luke spent
38 of his money. In the end, Luke and Hazel had the same amount of money left. Find the amount of money Luke had at first.
| |
Hazel |
Luke |
More |
Before |
6x5 =
30 u |
8 u |
22 u |
Change |
- 5x5 =
- 25 u |
- 3 u |
|
After |
1x5 =
5 u |
5 u |
|
Fraction of money that Hazel left
= 1 -
56 =
16 Fraction of money that Luke left
= 1 -
38 =
58 The amount of money that Luke and Hazel had in the end is the same. Make the amount of money that Luke and Hazel had in the end the same. LCM of 1 and 5 is 5.
Amount that Hazel had more than Luke at first
= 30 u - 8 u
= 22 u
22 u = 110
1 u = 110 ÷ 22 = 5
Amount that Luke had at first
= 8 u
= 8 x 5
= $40
Answer(s): $40
