Penelope had $162 more than Luke. Penelope spent
56 of her money and Luke spent
13 of his money. In the end, Luke and Penelope had the same amount of money left. Find the amount of money Luke had at first.
| |
Penelope |
Luke |
More |
Before |
6x2 =
12 u |
3 u |
9 u |
Change |
- 5x2 =
- 10 u |
- 1 u |
|
After |
1x2 =
2 u |
2 u |
|
Fraction of money that Penelope left
= 1 -
56 =
16 Fraction of money that Luke left
= 1 -
13 =
23 The amount of money that Luke and Penelope had in the end is the same. Make the amount of money that Luke and Penelope had in the end the same. LCM of 1 and 2 is 2.
Amount that Penelope had more than Luke at first
= 12 u - 3 u
= 9 u
9 u = 162
1 u = 162 ÷ 9 = 18
Amount that Luke had at first
= 3 u
= 3 x 18
= $54
Answer(s): $54
