Archie's salary to Billy's salary is 4 : 5. The former saves $630 while the latter saves $630. If Billy's spending to Archie's spending is in the ratio of 7 : 5, what are Archie's and Billy's salaries respectively?
- Archie
- Billy
| Archie's salary |
Billy's salary |
| 4 u |
5 u |
| Savings |
Spending |
Savings |
Spending |
| $630 |
5 p |
$630 |
7 p |
630 + 5 p = 4 u --- (1)
630 + 7 p = 5 u --- (2)
Make p the same.
(1)
x 74410 +
35 p = 28 u
35 p = 28 u - 4410 --- (3)
(2)
x 53150 +
35 p = 25 u
35 p = 25 u - 3150 --- (4)
(3) = (4)
28 u - 4410 = 25 u - 3150
28 u - 25 u = 4410 - 3150
3 u = 1260
1 u = 1260 ÷ 3 = 420
(a)
Archie's salary
= 4 u
= 4 x 420
= $1680
(b)
Billy's salary
= 5 u
= 5 x 420
= $2100
Answer(s): (a) $1680; (b) $2100
