Pamela had $1079 less than Albert. Pamela spent
14 of her money and Albert spent
57 of his money. In the end, Albert and Pamela had the same amount of money left. Find the amount of money Albert had at first.
|
Pamela |
Albert |
Difference |
Before |
4x2 = 8 u |
7x3 = 21 u |
13 u |
Change |
- 1x2 = - 2 u |
- 5x3 = - 15 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of Pamela's money left
= 1 -
14 =
34 Fraction of Albert's money left
= 1 -
57 =
27Albert and Pamela had the same amount of money in the end. Make the numerators the same. LCM of 3 and 2 is 6.
34 of Pamela's money =
27 of Albert's money
68 of Pamela's money =
621 of Albert's money
Amount that Pamela had at first = 8 u
Amount that Albert had at first = 21 u
Amount that Pamela had less than Albert had at first
= 21 u - 8 u
= 13 u
13 u = 1079
1 u = 1079 ÷ 13 = 83
Amount that Albert had at first
= 21 u
= 21 x 83
= $1743
Answer(s): $1743