At Nat’s Nuts a 2.25 pound bag of pistachio nuts cost $6.00. At this

Pound...............Ounce
1.......................16
\(2.25=\frac{9}{4}\).............X

X= 36 Ounce

cost 4 times a bag of 9 ounces = $6

Therefore, we can divide the cost by 4 to find the cost of 9 ounces = $1.5 = 150 cent

Answer: C

We see that a 16 x 2.25 = 36-ounce bag costs 6 x 100 = 600 cents.

Since 9 ounces = ¼ of 36 ounces, so a 9-ounce bag will cost 1/4 x 600 = 150 cents.

Alternate Solution:

We see that 2.25 pounds is equivalent to 2.25 x 16 = 36 ounces and that $6.00 = 6 x 100 = 600 cents.

We can set up a proportion to determine the number of cents that a bag weighing 9 ounces would cost.:

36/600 = 9/x

6/100 = 9/x

6x = 900

x = 150 cents

Answer: C

cost in cents got me

Here's a question, like many on the GMAT, that can be solved with logic and estimation and NO ACTUAL MATH. The GMAT is a test of logic and ability to think under time pressure, not of basic arithmetic. If you did this mathematically, you may have arrived at the right answer but probably took too much time.

After reviewing the answer choices, group together A and C versus B, D and E. What is similar about these groups? A and C imply that the smaller bag costs less while the B, D, and E imply the smaller bag costs more. Which outcome makes more sense - A and C. Eliminate B, D, and E.

Now, does the new bag cost 1.5 cents? No way - not even close. Eliminate C.

A is correct.

This type of logic can help you on
OG2019 PS 8 (are the results of each little bracketed subtraction positive or negative)
OG2019 PS 47 (Positive or negative, large or small)
OG2019 PG 62

And many, many others

pistachio very tasty but a little expensive

This question needs some introspection, options A and C are the same. Latter is in cents and former is in Dollar. No where does it say ,what could be the cost in cents? Since the question is framed in Dollars shouldn't the answer be in Dollars too?

Unless the question states answer should be in cents, it seems options A and C are same.
Hope Mod. will shed some light regarding this. Thank you.

At this rate, what is the cost in cents of a bag weighing 9 ounces? (1 pound = 16 ounces)

Oops! Sorry , my bad. Small oversight, Thank you for your response.

2.25*16 ; 36
6$ = 600 cents
so for 9 ounces cost ; (600/36)*9 = 150
IMO C