Cole's salary to Ethan's salary is 5 : 6. The former saves $1800 while the latter saves $1780. If Ethan's spending to Cole's spending is in the ratio of 8 : 5, what are Cole's and Ethan's salaries respectively?
- Cole
- Ethan
| Cole's salary |
Ethan's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $1800 |
5 p |
$1780 |
8 p |
1800 + 5 p = 5 u --- (1)
1780 + 8 p = 6 u --- (2)
Make p the same.
(1)
x 814400 +
40 p = 40 u
40 p = 40 u - 14400 --- (3)
(2)
x 58900 +
40 p = 30 u
40 p = 30 u - 8900 --- (4)
(3) = (4)
40 u - 14400 = 30 u - 8900
40 u - 30 u = 14400 - 8900
10 u = 5500
1 u = 5500 ÷ 10 = 550
(a)
Cole's salary
= 5 u
= 5 x 550
= $2750
(b)
Ethan's salary
= 6 u
= 6 x 550
= $3300
Answer(s): (a) $2750; (b) $3300
