Sam's salary to Mark's salary is 4 : 5. The former saves $1360 while the latter saves $1610. If Mark's spending to Sam's spending is in the ratio of 7 : 5, what are Sam's and Mark's salaries respectively?
- Sam
- Mark
| Sam's salary |
Mark's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1360 |
5 p |
$1610 |
7 p |
1360 + 5 p = 4 u --- (1)
1610 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 79520 +
35 p = 28 u
35 p = 28 u - 9520 --- (3)
(2)
x 58050 +
35 p = 25 u
35 p = 25 u - 8050 --- (4)
(3) = (4)
28 u - 9520 = 25 u - 8050
28 u - 25 u = 9520 - 8050
3 u = 1470
1 u = 1470 ÷ 3 = 490
(a)
Sam's salary
= 4 u
= 4 x 490
= $1960
(b)
Mark's salary
= 5 u
= 5 x 490
= $2450
Answer(s): (a) $1960; (b) $2450
