Question 948020
{{{x}}}= number of parts per hour the team was supposed to produce.
{{{8x}}}= number of parts the team was supposed to produce in an 8-hour day.
In 6 hours the team produced {{{"120%"}}} of that, meaning {{{120/100=1.2}}} times  that, or
{{{1.2*8x=9.6x}}}
{{{x+6}}}= number of parts per hour the team produced using more advanced technology.
{{{6(x+6)=6x+36}}}= number of parts the team produced in 6 hours using more advanced technology.
Our equation is
{{{9.6x=6x+36}}} .
Solving:
{{{9.6x=6x+36}}}
{{{9.6x-6x=36}}}
{{{3.6x=36}}}
{{{x=36/3.6}}}
{{{highlight(x=10)}}} .
 
Verification The team was supposed to produce {{{10}}} pieces per hour, or
{{{8*10=80}}} pieces in an eight hours day work.
Making {{{10+6=16}}} pieces per hour thanks to more advance technology,
they made {{{6*16=96}}} pieces in {{{6}}} hours.
{{{96}}} is {{{96/80=12/10=120/100="120%" of {{{80}}} .