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The price of commodity A is $5800 and it decreases

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The price of commodity A is $5800 and it decreases [#permalink] New post 09 Sep 2019, 10:09
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Question Stats:

0% (00:00) correct 100% (03:50) wrong based on 2 sessions
The price of commodity A is $5800 and it decreases at the rate of $2 per three months. Commodity B costs $4200 and it increases at the rate of $8 per four months. How many years will it take for the two commodities to become equal in price?

A.4.5

B.3.8

C.20

D.60

E.50

I'm not quite sure what I'm doing wrong, but I keep getting the answer of 50. If anyone could show me how to do this problem that would be very appreciated.

Thanks!
[Reveal] Spoiler: OA

Last edited by Carcass on 09 Sep 2019, 11:53, edited 2 times in total.
Edited by Carcass
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Re: The price of commodity A is $5800 and it decreases [#permalink] New post 09 Sep 2019, 11:54
Expert's post
50 is correct.

If the question says is another option I think the question indicates it as wrong

\(5800 - 8x = 4200 + 24x\)

\(1600 = 32 x\)

\(x = 50\)

Hope this helps
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Re: The price of commodity A is $5800 and it decreases   [#permalink] 09 Sep 2019, 11:54
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