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# Sales associate Danielle has a weekly goal to average 75 phone calls

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Math Expert
Joined: 02 Sep 2009
Posts: 50670
Sales associate Danielle has a weekly goal to average 75 phone calls  [#permalink]

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15 Apr 2018, 09:03
00:00

Difficulty:

25% (medium)

Question Stats:

92% (01:30) correct 8% (01:01) wrong based on 24 sessions

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Sales associate Danielle has a weekly goal to average 75 phone calls per day. If her average for the first four days of a five-day workweek was 72 phone calls per day, how many phone calls does she need to make on the fifth day to reach her goal?

A. 75
B. 78
C. 81
D. 84
E. 87

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Joined: 22 May 2016
Posts: 2115
Sales associate Danielle has a weekly goal to average 75 phone calls  [#permalink]

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15 Apr 2018, 16:55
Bunuel wrote:
Sales associate Danielle has a weekly goal to average 75 phone calls per day. If her average for the first four days of a five-day workweek was 72 phone calls per day, how many phone calls does she need to make on the fifth day to reach her goal?

A. 75
B. 78
C. 81
D. 84
E. 87

I. Per day shortage

4 days * 3 fewer calls/day than goal = 12 calls short
She must make up for the shortfall on Day 5
Day 5? 75 (reg) + 12 = 87 calls on Day 5

II. $$(A * n) = S$$

Goal: average, A, of 75 calls/day for n=5 days
Goal total: $$(75 * 5) = 375 = Sum_1$$

Average for Days 1-4 = 72 calls
Total? $$(72 * 4) = 288 = Sum_2$$

The difference between sums equals the number of calls she must make on Day 5
$$(375 - 288) = 87$$ calls

Senior Manager
Joined: 31 May 2017
Posts: 321
Re: Sales associate Danielle has a weekly goal to average 75 phone calls  [#permalink]

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15 Apr 2018, 18:51
1
Average calls per day = 75 calls

Number of calls made on first 4 days = 72
Number of calls short per day = 3 calls i.e. 12 calls short in first 4 days.

Number of calls to be made on 5th day to match the overall expected average = 75 + 12 = 87 Calls

Ans: E
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Re: Sales associate Danielle has a weekly goal to average 75 phone calls &nbs [#permalink] 15 Apr 2018, 18:51
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