A certain work plan for September requires that a work team, working every day, produce an...

Question

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?

GMAT Panda · Accepted Answer

250 We name x as the average items per day in the second half of the month. x = average items per day in the second half of the month We find the total items needed for the month. Total items = 200 30 = 6000 We find the items produced in the first 15 days. First half items = 150 15 = 2250 We find how many items are needed in the second half by subtracting. Remaining items = 6000 - 2250 = 3750 We express the second half total as x times 15 days. x 15 = 3750 We solve for x by dividing both sides by 15. x = 3750/15 = 3000/15 + 750/15 = 15 20015 + 15 imes 5015 = 200 + 50 = 250

Explanation	Calculations	Help
$We name x as the average items per day in the second half of the month.$	$x = average items per day in the second half of the month$
$We find the total items needed for the month.$	$Total items = 200 \times 30 = 6000$
$We find the items produced in the first 15 days.$	$First half items = 150 \times 15 = 2250$
$We find how many items are needed in the second half by subtracting.$	$Remaining items = 6000 - 2250 = 3750$
$We express the second half total as x times 15 days.$	$x \times 15 = 3750$
$We solve for x by dividing both sides by 15.$	$x = \frac{3750}{15} = \frac{3000}{15} + \frac{750}{15} = \frac{15 \times 200}{15} + \frac{15 im es 50}{15} = 200 + 50 = 250$

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