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A retail store employs only clerks and managers and the

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A retail store employs only clerks and managers and the

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A retail store employs only clerks and managers and the clerks earn $11.50/hour while the managers earn $19/hour. Last year, the store had 20 employees and its average employee earned $13/hour. Thus far this year, the store has hired 4 clerks and promoted some of last year’s clerks to manager. If the store has undergone no other personnel changes and the average employee now earns $14/hour, how many clerks were promoted to manager?

A. 2
B. 4
C. 6
D. 7
E. 8

OA B

Source: Veritas Prep

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BTGmoderatorDC wrote:
A retail store employs only clerks and managers and the clerks earn $11.50/hour while the managers earn $19/hour. Last year, the store had 20 employees and its average employee earned $13/hour. Thus far this year, the store has hired 4 clerks and promoted some of last year’s clerks to manager. If the store has undergone no other personnel changes and the average employee now earns $14/hour, how many clerks were promoted to manager?

A. 2
B. 4
C. 6
D. 7
E. 8
Last year's payroll = (number of employees)(average hourly wage) = 20*13 = 260.

This year 4 clerks are hired, increasing the number of employees to 24.
Since the average hourly wage this year = 14, we get:
This year's payroll = (number of employees)(average hourly wage) = 24*14 = 336.

Payroll increase between this year and last year = 336-260 = 76.
Since clerks earn $11.50 per hour, the total wages for the 4 newly hired clerks = (4)(11.5) = 46.
Amount earned by the promoted employees = (total payroll increase) - (total wages for the 4 newly hired clerks) = 76-46 = 30.
Since a promoted employee's hourly wage increases from $11.50 to $19 -- an increase of $7.50 per hour -- the number of promoted employees = 30/7.5 = 4.

The correct answer is B.

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Post
BTGmoderatorDC wrote:
A retail store employs only clerks and managers and the clerks earn $11.50/hour while the managers earn $19/hour. Last year, the store had 20 employees and its average employee earned $13/hour. Thus far this year, the store has hired 4 clerks and promoted some of last year’s clerks to manager. If the store has undergone no other personnel changes and the average employee now earns $14/hour, how many clerks were promoted to manager?

A. 2
B. 4
C. 6
D. 7
E. 8

OA B

Source: Veritas Prep
We can let x = the number of clerks in the store before any new hires or promotions. Thus, 20 - x = the number of managers, and we can create the equation:

(11.5x + 19(20 - x))/20 = 13

11.5x + 380 - 19x = 260

-7.5x = -120

x = 16

Therefore, there were 16 clerks and 4 managers before any new hires or promotions, and there were 24 employees after the personnel changes. Now let’s let n = the number of clerks who were promoted to manager. Since there are 4 new clerks who were hired, we can create the equation for the income of the employees:

(11.5(16 + 4 - n) + 19(4 + n))/24 = 14

230 - 11.5n + 76 + 19n = 336

7.5n = 30

n = 4

Answer: B

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scott@targettestprep.com



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