Lucy had $192 more than Mark. Lucy spent
45 of her money and Mark spent
49 of his money. In the end, Mark and Lucy had the same amount of money left. Find the amount of money Mark had at first.
|
Lucy |
Mark |
More |
Before |
5x5 = 25 u |
9 u |
16 u |
Change |
- 4x5 = - 20 u |
- 4 u |
|
After |
1x5 = 5 u |
5 u |
|
Fraction of money that Lucy left
= 1 -
45 =
15 Fraction of money that Mark left
= 1 -
49 =
59 The amount of money that Mark and Lucy had in the end is the same. Make the amount of money that Mark and Lucy had in the end the same. LCM of 1 and 5 is 5.
Amount that Lucy had more than Mark at first
= 25 u - 9 u
= 16 u
16 u = 192
1 u = 192 ÷ 16 = 12
Amount that Mark had at first
= 9 u
= 9 x 12
= $108
Answer(s): $108