Ken's salary to Xavier's salary is 5 : 6. The former saves $1600 while the latter saves $1680. If Xavier's spending to Ken's spending is in the ratio of 7 : 5, what are Ken's and Xavier's salaries respectively?
- Ken
- Xavier
| Ken's salary |
Xavier's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1600 |
5 p |
$1680 |
7 p |
1600 + 5 p = 5 u --- (1)
1680 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 711200 +
35 p = 35 u
35 p = 35 u - 11200 --- (3)
(2)
x 58400 +
35 p = 30 u
35 p = 30 u - 8400 --- (4)
(3) = (4)
35 u - 11200 = 30 u - 8400
35 u - 30 u = 11200 - 8400
5 u = 2800
1 u = 2800 ÷ 5 = 560
(a)
Ken's salary
= 5 u
= 5 x 560
= $2800
(b)
Xavier's salary
= 6 u
= 6 x 560
= $3360
Answer(s): (a) $2800; (b) $3360
