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Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next

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by Vincen » Wed Mar 31, 2021 8:24 am
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Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30

Answer: C

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Re: Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the nex

by Brent@GMATPrepNow » Wed Mar 30, 2022 8:30 am
Vincen wrote: ↑
Wed Mar 31, 2021 8:24 am
 Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.25 more than the next one below it in size. What was the cost, in dollars, of the largest pot?

A. $1.75
B. $1.85
C. $2.00
D. $2.15
E. $2.30

Answer: C

Source: GMAT Prep
STRATEGY: As with all GMAT Problem Solving questions, we should immediately ask ourselves, Can I use the answer choices to my advantage?
In this case, we can easily test the answer choices.
Now we should give ourselves up to 20 seconds to identify a faster approach.
In this case, we can also solve the question algebraically.
Since testing the answer choices is incredibly easy, that's what I'll do

We'll start with answer choice C ($2.00)
If the largest pot costs $2.00, then the 2nd largest pot costs $1.75, the 3rd largest pot costs $1.50, and so on.
So, if the largest pot costs $2.00, then the TOTAL cost of all six pots = $2.00 + $1.75 + $1.50 + $1.25 + $1.00 + $0.75 = $8.25. Perfect!!

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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