Caden's salary to Zeph's salary is 4 : 5. The former saves $1640 while the latter saves $1990. If Zeph's spending to Caden's spending is in the ratio of 3 : 2, what are Caden's and Zeph's salaries respectively?
- Caden
- Zeph
| Caden's salary |
Zeph's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1640 |
2 p |
$1990 |
3 p |
1640 + 2 p = 4 u --- (1)
1990 + 3 p = 5 u --- (2)
Make p the same.
(1)
x 34920 +
6 p = 12 u
6 p = 12 u - 4920 --- (3)
(2)
x 23980 +
6 p = 10 u
6 p = 10 u - 3980 --- (4)
(3) = (4)
12 u - 4920 = 10 u - 3980
12 u - 10 u = 4920 - 3980
2 u = 940
1 u = 940 ÷ 2 = 470
(a)
Caden's salary
= 4 u
= 4 x 470
= $1880
(b)
Zeph's salary
= 5 u
= 5 x 470
= $2350
Answer(s): (a) $1880; (b) $2350
