Sean's salary to Jack's salary is 5 : 6. The former saves $1950 while the latter saves $2220. If Jack's spending to Sean's spending is in the ratio of 4 : 3, what are Sean's and Jack's salaries respectively?
- Sean
- Jack
| Sean's salary |
Jack's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1950 |
3 p |
$2220 |
4 p |
1950 + 3 p = 5 u --- (1)
2220 + 4 p = 6 u --- (2)
Make p the same.
(1)
x 47800 +
12 p = 20 u
12 p = 20 u - 7800 --- (3)
(2)
x 36660 +
12 p = 18 u
12 p = 18 u - 6660 --- (4)
(3) = (4)
20 u - 7800 = 18 u - 6660
20 u - 18 u = 7800 - 6660
2 u = 1140
1 u = 1140 ÷ 2 = 570
(a)
Sean's salary
= 5 u
= 5 x 570
= $2850
(b)
Jack's salary
= 6 u
= 6 x 570
= $3420
Answer(s): (a) $2850; (b) $3420
