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

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Math Expert
Joined: 02 Sep 2009
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A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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17 Sep 2018, 22:27
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5% (low)

Question Stats:

91% (01:08) correct 9% (00:49) wrong based on 56 sessions

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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 _________________ Director Joined: 20 Feb 2015 Posts: 795 Concentration: Strategy, General Management Re: A poll reveals that the average (arithmetic mean) income of 10 househo [#permalink] ### Show Tags 17 Sep 2018, 22:37 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
Director
Joined: 04 Sep 2015
Posts: 525
Location: India
WE: Information Technology (Computer Software)
Re: A poll reveals that the average (arithmetic mean) income of 10 househo  [#permalink]

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18 Sep 2018, 01:53
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. e-GMAT Representative Joined: 04 Jan 2015 Posts: 2456 A poll reveals that the average (arithmetic mean) income of 10 househo [#permalink] ### Show Tags 18 Sep 2018, 02:56 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.

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

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19 Sep 2018, 17:08
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 _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Intern Joined: 20 Jun 2017 Posts: 14 Re: A poll reveals that the average (arithmetic mean) income of 10 househo [#permalink] ### Show Tags 19 Sep 2018, 19:12 2 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

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