Rachel had $1334 less than Mark. Rachel spent
16 of her money and Mark spent
57 of his money. In the end, Mark and Rachel had the same amount of money left. Find the amount of money Mark had at first.
|
Rachel |
Mark |
Difference |
Before |
6x2 = 12 u |
7x5 = 35 u |
23 u |
Change |
- 1x2 = - 2 u |
- 5x5 = - 25 u |
|
After |
5x2 = 10 u |
2x5 = 10 u |
|
Fraction of Rachel's money left
= 1 -
16 =
56 Fraction of Mark's money left
= 1 -
57 =
27Mark and Rachel had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.
56 of Rachel's money =
27 of Mark's money
1012 of Rachel's money =
1035 of Mark's money
Amount that Rachel had at first = 12 u
Amount that Mark had at first = 35 u
Amount that Rachel had less than Mark had at first
= 35 u - 12 u
= 23 u
23 u = 1334
1 u = 1334 ÷ 23 = 58
Amount that Mark had at first
= 35 u
= 35 x 58
= $2030
Answer(s): $2030