Question 197923
Let {{{x}}} = barrels of cement to be transferred from 2nd to 1st shed
After transferring:
In shed 1 is {{{220 + x}}}
In shed 2 is {{{510 - x}}}
given:
{{{220 + x = (2/3)*(510 - x)}}}
Multiply both sides by {{{3}}}
{{{660 + 3x = 2*(510 - x)}}}
{{{660 + 3x = 1020 - 2x}}}
{{{5x = 1020 - 660}}}
{{{5x = 360}}}
{{{x = 72}}}
72 barrels of cement must be transferred from 2nd to 1st shed
check:
{{{220 + x = (2/3)*(510 - x)}}}
{{{220 + 72 = (2/3)*(510 - 72)}}}
{{{292 = (2/3)*438}}}
Multiply both sides by {{{3}}}
{{{876 = 2*438}}}
{{{876 = 876}}}
OK