Dylan's salary to Harry's salary is 4 : 5. The former saves $660 while the latter saves $600. If Harry's spending to Dylan's spending is in the ratio of 7 : 5, what are Dylan's and Harry's salaries respectively?
- Dylan
- Harry
| Dylan's salary |
Harry's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $660 |
5 p |
$600 |
7 p |
660 + 5 p = 4 u --- (1)
600 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 74620 +
35 p = 28 u
35 p = 28 u - 4620 --- (3)
(2)
x 53000 +
35 p = 25 u
35 p = 25 u - 3000 --- (4)
(3) = (4)
28 u - 4620 = 25 u - 3000
28 u - 25 u = 4620 - 3000
3 u = 1620
1 u = 1620 ÷ 3 = 540
(a)
Dylan's salary
= 4 u
= 4 x 540
= $2160
(b)
Harry's salary
= 5 u
= 5 x 540
= $2700
Answer(s): (a) $2160; (b) $2700
