SOLUTION: Please help me solve the problem. Thank you. Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulfilled

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please help me solve the problem. Thank you. Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulfilled       Log On


   



Question 948020: Please help me solve the problem. Thank you.
Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulfilled 120% of an eight hours day work in six hours. How many parts per hour was the team supposed to produce according to the plan?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
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 %22120%25%22 of that, meaning 120%2F100=1.2 times that, or
1.2%2A8x=9.6x
x%2B6= number of parts per hour the team produced using more advanced technology.
6%28x%2B6%29=6x%2B36= number of parts the team produced in 6 hours using more advanced technology.
Our equation is
9.6x=6x%2B36 .
Solving:
9.6x=6x%2B36
9.6x-6x=36
3.6x=36
x=36%2F3.6
highlight%28x=10%29 .

Verification The team was supposed to produce 10 pieces per hour, or
8%2A10=80 pieces in an eight hours day work.
Making 10%2B6=16 pieces per hour thanks to more advance technology,
they made 6%2A16=96 pieces in 6 hours.
96 is 96%2F80=12%2F10=120%2F100=%22120%25%22+of+%7B%7B%7B80 .