Last year, a certain company began producing soup A and sold all of th

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Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?

(1) Each can of soup A sold last year contained 0.45 kilograms.

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.

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CareerGeek · Answer

Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?

(1) Each can of soup A sold last year contained 0.45 kilograms.

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.

Let the initial weight of raw ingredients =  x  kg
Weight of after cooked (including herbs/spices) =  0.7x + 28

(1) Each can of soup A sold last year contained 0.45 kilograms.
--> Number of cans sold =  \frac{(0.7x + 28)}{0.45}  -->  Insufficient

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
-->  x > 3,000 
--> Least value possible =  3000  approximately
We do not know the weight of individual can -->  Insufficient

Combining (1) & (2),
Number of cans sold =  \frac{(0.7*3000 + 28)}{0.45} = \frac{2128}{0.45} = 2128*\frac{100}{45} = 4728  approximately
So, a minimum of 4728 cans have been sold --> May or may not be more than 4800 -->  Insufficient

IMO Option E

lacktutor · Answer

Let x be the total weight of raw ingredients.
Let y be the total weight of each can of soup. 
—>  \frac{(0.7x+ 28)}{y} > 4800  ???

(Statement1): y= 0.45kg 
No info about what x is.
Insufficient

(Statement2): x >3000kg 
No info about what y is. 
Insufficient

Taken together 1&2, 
If y= 3020 and x= 0.45kg, then 
 \frac{(0.7*3020 +28)}{0.45} = 4760 < 4800  (NO)

If y = 3060kg and x= 0.45kg, then 
 \frac{(0.7*3060+ 28)}{0.45} = 4822 >4800  (yes)

Insufficient

The answer is E.

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freedom128 · Answer

(0.7*raw + 28) for n cans --> Q. n>4,800?

1) We don't know the total weight of soup A and thus, we don't know what n is.
NOT SUFFICIENT

2) Raw>3,000kg and thus, (0.7*raw + 28) >2,128kg. However, we don't know the unit weight of each can filled with soup
NOT SUFFICIENT

1)+2)
If Raw is 3,001kg, then (0.7*raw + 28) =2,128kg and total number of cans is 2,128 / 0.45 = 4729 cans <4,800 nos
If Raw is 4,001kg, then (0.7*raw + 28) =2,128kg and total number of cans is 2,828 / 0.45 = 6284 cans >4,800 nos
NOT SUFFICIENT

FINAL ANSWER IS (E)

Posted from my mobile device

Archit3110 · Answer

#1
Each can of soup A sold last year contained 0.45 kilograms.
insufficient
#2

Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
3000*.7 ; 2100 kgs ; which is less than 4800 kgs even after adding 28 kgs
IMO B is sufficient

Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?

(1) Each can of soup A sold last year contained 0.45 kilograms.

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.

eakabuah · Answer

Let x be the raw ingredients that were cooked to produce soap A last year. Then the total mass of soap packaged into cans = 0.7x+28 -----(1)
We are to determine if the company sold more than 4,800 cans of soap last year.

To answer this question we need x and the mass of a can.

Statement 1: Each can of soup A sold last year contained 0.45 kilograms.
Statement 1 is insufficient since we don't have any information on the x.

Statement 2: Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
Statement 2 provides information on x but it does not provide any information on the mass of a can of soap. Statement 2 is therefore insufficient.

1+2
A can is 0.45kg and x>3000.
Both statements are still insufficient because when x=3010kg, the number of cans sold = (3010*0.7+28)/0.45 = 2135/0.45 <4745 implying less than 4800 cans of soap were sold last year.
However, when x=3100kg, the number of cans sold = (3100*0.7+28)/0.45 > 4800, implying more than 4800 cans of soap were sold last year.

The answer is E.

joohwangie · Answer

Last year, a certain company began producing soup A and sold all of the soup A that it produced. To make all of the soup A produced last year, raw ingredients were cooked until their weight was 30% less than their original weight, then a total of 28 kilograms of herbs and spices were added just before soup A was packaged in cans. Did the company sell more than 4,800 cans of soup A last year?

(1) Each can of soup A sold last year contained 0.45 kilograms.
insufficient, we don't know the total weight of raw ingredients used.

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
insufficient alone, don't know what each can weight
C or E

if the the raw ingredients of soup before cooking is 3000 when cook left 2100 
2100+28=2128
2128/0.45= aproximately 4,7xx 
therefore could be less than 4800 kg or more than 4800 kg

insufficient
E

QuantMadeEasy · Answer

(1) Each can of soup A sold last year contained 0.45 kilograms.
Total number of cans can not be calculated from this information. Insufficient

(2) Last year, the total weight of the raw ingredients for soup A, before cooking and excluding the herbs and spices added after cooking, was greater than 3,000 kilograms.
Minimum Total weight of raw ingredient is 70% of 3000 = 0.7*3000 = 2100kg
Number of cans can not be calculated. Insufficient

(1)+(2); Minimum Total weight of raw ingredients after cooking + herbs and spices = 2128Kg
Weight in each cans = 0.45kg
minimum number of cans = 2128/0.45 = 4728
Insufficient

E is correct

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