Bunuel wrote:

A certain work plan for September requires that a work team, working every day, produce an average of 200 items per day. For the first half of the month, the team produced an average of 150 items per day. How many items per day must the team average during the second half of the month if it is to attain the average daily production rate required by the work plan?

A. 225

B. 250

C. 275

D. 300

E. 350

We can create the equation:

200 = (150 x 15 + n)/30

6000 = 2,250 + n

3,750 = n

So per day, 3,750/15 = 250 items must be produced

Alternate Solution:

For the first half of the month, the team was 50 items below the daily goal each day. Thus, for the second half of the month, the team must produce the required 200 daily units each day, plus 50 extra units each day (to make up for the earlier deficit). Thus, the team must have a daily average of 250 units for the second half of the month..

Answer: B

Alternate Solution:

We see that 150/200 = 3/4 = 0.75 or 25 percent less of the average was produced per day for the first 15 days.

To produce the average for the 25 percent more than the average must be produced or 1.25 x 200 = 250 items per day.

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