10% of Vaidev's savings was $8 more than 40% of Albert's savings. After Vaidev spent
25 of his savings and Albert spent 40% of his savings, Albert had $156 less than Vaidev. How much was Albert's saving at first?
|
Albert |
Vaidev |
Before |
5 u |
20 u + 80 |
Change |
- 2 u |
- 8 u - 32 |
After |
3 u |
12 u + 48 |
Comparing Albert and Vaidev in the end |
|
156 more |
10% =
10100 =
110 40% =
40100 =
25 110 Vaidev =
25 Albert + 8
Make the numerators the same. LCM of 1 and 2 is 2.
1x210x2 Vaidev =
2x15x1 Albert + 8
220 Vaidev =
25 Albert + 8
Simplify the fractions.
120 Vaidev =
15 Albert + 4
Let
15 Albert be
1 u.
Albert's savings at first = 5 u
120 Vaidev =
15 Albert + 4
Let
120 Vaidev be
1 u + 4.
Vaidev's savings at first
= 20 x (1 u + 4)
= 20 u + 80
Savings that Albert spent
= 40% x 5 u
=
40100 x 5 u
= 2 u
Savings that Vaidev spent
=
25 x (20 u + 80)
= 8 u + 32
Albert had $156 less than Vaidev in the end. If another $156 was given to Albert, the amount that each had in the end would be the same.
12 u + 48 = 3 u + 156
12 u - 3 u = 156 - 48
9 u = 108
1 u = 108 ÷ 9 = 12
Savings that Albert had at first
= 5 u
= 5 x 12
= $60
Answer(s): $60