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by tsmith93 » Wed Mar 03, 2010 6:35 pm
Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth $320,000 today, what did they pay for it 30 years ago?

(A)$5,000
(B)$10,000
(C)$64,000
(D)$160,000
(E)$320,000*2^5
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by truplayer256 » Wed Mar 03, 2010 8:19 pm
Let the price that Mr. and Mrs. Lopez spent on the house be represented by the variable x. Then,

2x- 6 years later

4x-12 years later

8x-18 years later

16x-24 years later

32x-30 years later

32x=320000

x=10,000
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by herbalsejagat » Tue Sep 19, 2017 7:39 pm
Are we sure about the OA on this one?
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Re: Time and Average

by Scott@TargetTestPrep » Sun Feb 02, 2020 12:49 pm
tsmith93 wrote: ↑
Wed Mar 03, 2010 6:35 pm
 Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth $320,000 today, what did they pay for it 30 years ago?

(A)$5,000
(B)$10,000
(C)$64,000
(D)$160,000
(E)$320,000*2^5
If the value of the house doubles every 6 years, then the value of the house is halved compared to its value 6 years ago. Since the house is worth $320,000 today,

6 years ago, it was worth $160,000.

6 more years ago (or 12 years ago), it was worth $80,000.

6 more years ago (or 18 years ago), it was worth $40,000.

6 more years ago (or 24 years ago), it was worth $20,000.

Finally, 6 more years ago (or 30 years ago), it was worth $10,000, so they paid $10,000 for the house.

Answer: B

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