Question

Divide 182 in three parts in the ratio 1/10 : 1/15 : 1/20

Answer 1

Answer:

The amounts are: 84, 56 and 42

Step-by-step explanation:

Let the three parts be denoted as x/10, x/15 and x/20

Now,

x/10 + x/15 + x/20 = 182

Expressing each term with common denominator 60, which is the LCM of 10,15 and 20, we get:

6x/60 + 4x/60 + 3x/60 = 182  

13x = 182*60

13x = 10920

x = 840

Respective shares are:

x/10 = 840/10 = 84

x/15 = 840/15 = 56

x/20 = 840/20 = 42

Verify: 84+56+42 = 182