Question 628314
1500 is divided into three parts, 1/2 of the first part is same
 as 1/3rd of the second and
 3/5th of third.
 find each part
:
"1500 is divided into three parts,"
a + b + c = 1500
:
"1/2 of the first part is same as 1/3rd of the second"
{{{1/2}}}a = {{{1/3}}}b
multiply by 3
{{{3/2}}}a = b
:
"and 3/5th of third. find each part"
{{{1/2}}}a = {{{3/5}}}c
multiply by (5/3)
{{{5/6}}}a = c 
:
replace b and c in the total equation
a + {{{3/2}}}a + {{{5/6}}}a = 1500
multiply by 6, results
6a + 3(3a) + 5a = 6(1500)
6a + 9a + 5a = 9000
20a = 9000
a = 9000/20
a = 450 is the 1st part
then
b = {{{3/2}}}*450
b = 675 is the 2nd part
and
c = {{{5/6}}}*450
c = 375 is the 3rd part
:
:
See if that adds up: 450 + 675 + 375 = 1500