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A poll reveals that the average (arithmetic mean) income of 10 househo

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A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 17 Sep 2018, 23:27
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A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000

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Re: A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 17 Sep 2018, 23:37
Bunuel wrote:
A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000


total income of 10 households = 250,000
income of 6 households = 30,000 * 6 = 180,000
average income of other 4 houses =\(\frac{250,000 - 180,000}{4}\) = \(\frac{70,000}{4}\)=17,500
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Re: A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 18 Sep 2018, 02:53
A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000

step1. 25000*10=250000 (total income of 10 households)

step2. 30,000*6=180000 (total income of 6 households)


Step3. 250000-180000=70000

70000/4=17500 avg per household income. Option C.
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A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 18 Sep 2018, 03:56

Solution


Given:
    • The average income of 10 households = $25,000
    • The income of 6 households = $30,000 each

To find:
    • The average income of the other 4 households

Approach and Working:
    • $25,000 = sum of the incomes of all households /10
      o Implies, sum of the 6 households + sum of the other 4 households = \($25,000 * 10\)
      o Thus, sum of the other 4 households = \($250,000 – 6 * $30,000 = $70,000\)
    • Therefore, the average income of the other 4 households = \(\frac{$70,000}{4} = $17,500\)

Hence, the correct answer is option C.

Answer: C

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Re: A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 19 Sep 2018, 18:08
Bunuel wrote:
A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?

A. $21,500
B. $20,500
C. $17,500
D. $7,500
E. $7,000


The overall sum is 10 x 25,000 = 250,000.

The sum of 6 of the households is 6 x 30,000 = 180,000. Thus, we know that the sum of the incomes of the remaining 4 households is 250,000- 180,000 = 70,000.

So the average of those other 4 households is 70,000/4 = 17,500.

Answer: C
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Re: A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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New post 19 Sep 2018, 20:12
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Given
Average (arithmetic mean) income of 10 households is $25,000.
Incomes of 6 households is $30,000 each

With the help of provided information, we can calculate
Total Incomes of 6 households = 6 x 30,000 = 180,000.
Total Incomes of 10 households =10 x 25,000 = 250,000.
Total Incomes of other 4 households = 250,000- 180,000 = 70,000
Average of those other 4 households = 70,000/4 = 17,500

Answer: C
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Re: A poll reveals that the average (arithmetic mean) income of 10 househo &nbs [#permalink] 19 Sep 2018, 20:12
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