Gabriel's salary to Cole's salary is 4 : 5. The former saves $1430 while the latter saves $1450. If Cole's spending to Gabriel's spending is in the ratio of 5 : 3, what are Gabriel's and Cole's salaries respectively?
- Gabriel
- Cole
| Gabriel's salary |
Cole's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $1430 |
3 p |
$1450 |
5 p |
1430 + 3 p = 4 u --- (1)
1450 + 5 p = 5 u --- (2)
Make p the same.
(1)
x 57150 +
15 p = 20 u
15 p = 20 u - 7150 --- (3)
(2)
x 34350 +
15 p = 15 u
15 p = 15 u - 4350 --- (4)
(3) = (4)
20 u - 7150 = 15 u - 4350
20 u - 15 u = 7150 - 4350
5 u = 2800
1 u = 2800 ÷ 5 = 560
(a)
Gabriel's salary
= 4 u
= 4 x 560
= $2240
(b)
Cole's salary
= 5 u
= 5 x 560
= $2800
Answer(s): (a) $2240; (b) $2800
