Albert's salary to Mark's salary is 5 : 6. The former saves $2100 while the latter saves $2370. If Mark's spending to Albert's spending is in the ratio of 7 : 5, what are Albert's and Mark's salaries respectively?
- Albert
- Mark
| Albert's salary |
Mark's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2100 |
5 p |
$2370 |
7 p |
2100 + 5 p = 5 u --- (1)
2370 + 7 p = 6 u --- (2)
Make p the same.
(1)
x 714700 +
35 p = 35 u
35 p = 35 u - 14700 --- (3)
(2)
x 511850 +
35 p = 30 u
35 p = 30 u - 11850 --- (4)
(3) = (4)
35 u - 14700 = 30 u - 11850
35 u - 30 u = 14700 - 11850
5 u = 2850
1 u = 2850 ÷ 5 = 570
(a)
Albert's salary
= 5 u
= 5 x 570
= $2850
(b)
Mark's salary
= 6 u
= 6 x 570
= $3420
Answer(s): (a) $2850; (b) $3420
