Jenson's salary to Justin's salary is 5 : 7. The former saves $2240 while the latter saves $2960. If Justin's spending to Jenson's spending is in the ratio of 5 : 3, what are Jenson's and Justin's salaries respectively?
- Jenson
- Justin
| Jenson's salary |
Justin's salary |
| 5 u |
7 u |
| Savings |
Spending |
Savings |
Spending |
| $2240 |
3 p |
$2960 |
5 p |
2240 + 3 p = 5 u --- (1)
2960 + 5 p = 7 u --- (2)
Make p the same.
(1)
x 511200 +
15 p = 25 u
15 p = 25 u - 11200 --- (3)
(2)
x 38880 +
15 p = 21 u
15 p = 21 u - 8880 --- (4)
(3) = (4)
25 u - 11200 = 21 u - 8880
25 u - 21 u = 11200 - 8880
4 u = 2320
1 u = 2320 ÷ 4 = 580
(a)
Jenson's salary
= 5 u
= 5 x 580
= $2900
(b)
Justin's salary
= 7 u
= 7 x 580
= $4060
Answer(s): (a) $2900; (b) $4060
