Tim's salary to Sam's salary is 5 : 6. The former saves $1480 while the latter saves $1660. If Sam's spending to Tim's spending is in the ratio of 4 : 3, what are Tim's and Sam's salaries respectively?
- Tim
- Sam
| Tim's salary |
Sam's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1480 |
3 p |
$1660 |
4 p |
1480 + 3 p = 5 u --- (1)
1660 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 45920 +
12 p = 20 u
12 p = 20 u - 5920 --- (3)
(2)
x 34980 +
12 p = 18 u
12 p = 18 u - 4980 --- (4)
(3) = (4)
20 u - 5920 = 18 u - 4980
20 u - 18 u = 5920 - 4980
2 u = 940
1 u = 940 ÷ 2 = 470
(a)
Tim's salary
= 5 u
= 5 x 470
= $2350
(b)
Sam's salary
= 6 u
= 6 x 470
= $2820
Answer(s): (a) $2350; (b) $2820
