Charlie's salary to Andy's salary is 5 : 6. The former saves $1850 while the latter saves $1840. If Andy's spending to Charlie's spending is in the ratio of 8 : 5, what are Charlie's and Andy's salaries respectively?
- Charlie
- Andy
| Charlie's salary |
Andy's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1850 |
5 p |
$1840 |
8 p |
1850 + 5 p = 5 u --- (1)
1840 + 8 p = 6 u --- (2)
Make p the same.
(1)
x 814800 +
40 p = 40 u
40 p = 40 u - 14800 --- (3)
(2)
x 59200 +
40 p = 30 u
40 p = 30 u - 9200 --- (4)
(3) = (4)
40 u - 14800 = 30 u - 9200
40 u - 30 u = 14800 - 9200
10 u = 5600
1 u = 5600 ÷ 10 = 560
(a)
Charlie's salary
= 5 u
= 5 x 560
= $2800
(b)
Andy's salary
= 6 u
= 6 x 560
= $3360
Answer(s): (a) $2800; (b) $3360
