Sarah had $1014 less than Fred. Sarah spent
15 of her money and Fred spent
47 of his money. In the end, Fred and Sarah had the same amount of money left. Find the amount of money Fred had at first.
|
Sarah |
Fred |
Difference |
Before |
5x3 = 15 u |
7x4 = 28 u |
13 u |
Change |
- 1x3 = - 3 u |
- 4x4 = - 16 u |
|
After |
4x3 = 12 u |
3x4 = 12 u |
|
Fraction of Sarah's money left
= 1 -
15 =
45 Fraction of Fred's money left
= 1 -
47 =
37Fred and Sarah had the same amount of money in the end. Make the numerators the same. LCM of 4 and 3 is 12.
45 of Sarah's money =
37 of Fred's money
1215 of Sarah's money =
1228 of Fred's money
Amount that Sarah had at first = 15 u
Amount that Fred had at first = 28 u
Amount that Sarah had less than Fred had at first
= 28 u - 15 u
= 13 u
13 u = 1014
1 u = 1014 ÷ 13 = 78
Amount that Fred had at first
= 28 u
= 28 x 78
= $2184
Answer(s): $2184