The chart above gives prices for different types of cheese at 2 different delis. According to the chart, how much money would Kimberly have saved if she had purchased her cheese at Deli A rather than at Deli B?
(1) She purchased equal amounts of Provolone and Swiss, and twice as much American.
(2) She purchased 3.6 kilograms of cheese in all.

by itself is not.
and Swiss cheese were purchased, the price of the cheese at Deli B averaged $18/kg. From here, we can calculate total amount spent at Deli B, but we still know nothing about the distribution of purchases at Deli A. So we can\'t use statement (1) alone to determine where Julian spent more money.
ught at Deli A is less than $16/kg. Because Julian bought the same amount of cheese in each store, and the least expensive cheese at Deli B costs $16/kg, he must have spent less money in Deli A. The answer is (B)

Statement (1) is not sufficient by itself because it only gives us the ratio of the amounts of the cheeses. We are not told how much cheese she purchased. The more cheese she purchased, the more money she would have saved had she purchased her cheese at Deli A.

Statement (2) tells us exactly what we need to know: how much cheese was purchased. No matter what the distribution was of cheeses purchased, each kilogram of cheese would cost $1 less at Deli A. So Statement (2) is sufficient alone.

Since Statement (1) is insufficient and Statement (2) is sufficient, the correct answer is choice B

I hope this helps,
Steve

Using Statement (2) by itself we can calculate the exact amount.

We know that each kilogram of cheese would be $1 less at Deli A. (No matter what kind of cheese it is). So since she bought 3.6 kilograms of cheese in all she saved 3.6 × 1 = 3.6 dollars.

Statement (2) IS SUFFICIENT and Statement (1) IS NOT.
Let me explain why.

The main question asks us "How much money would Kimberly have saved ... ?". So information we use is sufficient if we can give a definite answer: "Kimberly have saved ___ dollars.".

First, let me show why statement (1) is insufficient.
(1) She bought equal amounts of Provolone and Swiss, and twice that amount of American.
Imagine she bought 1kg Provolone, 1kg Swiss and 2kg of American.
Then in deli A she paid: 15 × 1 + 17 × 1 + 19 × 2 = 51 dollars
In deli B she would pay: 16 × 1 + 18 × 1 + 20 × 2 = 55 dollars
In this case she saved 4 dollars.

Imagine she bought 2kg Provolone, 2kg Swiss and 4kg of American.
Then in deli A she paid: 15 × 2 + 17 × 2 + 19 × 4 = 102 dollars
In deli B she would pay: 16 × 2 + 18 × 2 + 20 × 4 = 110 dollars
In this case she saved 8 dollars.

Both imaginable situations are possible (they fit in information we have) but the answer for the main question is different. It means that we can not give a definite answer using Statement (1).


Now, let me show that using Statement (2) we can answer the question.
(2) She bought 3.6 kilograms of cheese in all.
We know that each kilogram of cheese would be $1 less at Deli A. (No matter what kind of cheese it is). So since she bought 3.6 kilograms of cheese in all she saved 3.6 × 1 = 3.6 dollars.

If this explanation is not clear than we can go general way:
Let us denote the amount of cheese of each kind she bought by x, y, z respectively. So x + y + z = 3.6
Then in deli A she paid: 15x + 17y + 19z
In deli B she would pay: 16x + 18y + 20z
The difference is: (16x + 18y + 20z) – (15x + 17y + 19z) = x + y + z
We know that x + y + z = 3.6
So Kimberly have saved 3.6 dollars.