Mark's salary to Justin's salary is 5 : 6. The former saves $2050 while the latter saves $2370. If Justin's spending to Mark's spending is in the ratio of 3 : 2, what are Mark's and Justin's salaries respectively?
- Mark
- Justin
| Mark's salary |
Justin's salary |
| 5 u |
6 u |
| Savings |
Spending |
Savings |
Spending |
| $2050 |
2 p |
$2370 |
3 p |
2050 + 2 p = 5 u --- (1)
2370 + 3 p = 6 u --- (2)
Make p the same.
(1)
x 36150 +
6 p = 15 u
6 p = 15 u - 6150 --- (3)
(2)
x 24740 +
6 p = 12 u
6 p = 12 u - 4740 --- (4)
(3) = (4)
15 u - 6150 = 12 u - 4740
15 u - 12 u = 6150 - 4740
3 u = 1410
1 u = 1410 ÷ 3 = 470
(a)
Mark's salary
= 5 u
= 5 x 470
= $2350
(b)
Justin's salary
= 6 u
= 6 x 470
= $2820
Answer(s): (a) $2350; (b) $2820
