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There are two types of rolls on a counter, plain rolls and seeded roll

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There are two types of rolls on a counter, plain rolls and seeded roll  [#permalink]

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New post 06 Dec 2018, 08:34
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There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.

(2) There are 16 more plain rolls than seeded rolls on the counter.

A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient
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Re: There are two types of rolls on a counter, plain rolls and seeded roll  [#permalink]

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New post 06 Dec 2018, 08:46
prav04 wrote:
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.

(2) There are 16 more plain rolls than seeded rolls on the counter.

A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D EACH statement ALONE is sufficient.
E Statements (1) and (2) TOGETHER are NOT sufficient


The first statement gives x/y = 1/5. The second statement gives x = y - 16. Neither of them is sufficient to get the value of x + y. Taken together though we have two distinct linear equations with two unknowns, which means that we can solve for x and y and get the value of x + y.

Answer: C.
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Re: There are two types of rolls on a counter, plain rolls and seeded roll  [#permalink]

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New post 21 Dec 2018, 08:15
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prav04 wrote:
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.


Given: There are two types of rolls on a counter, plain rolls and seeded rolls.
Let P = # of plain rolls
Let S = # of seeded rolls

Target question: What is the value of P + S?

Statement 1: The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter Is 1 to 5.
In other words, S/P = 1/5
Cross multiply to get: 5S = P
There are several values of S and P that satisfy statement 1. Here are two:
Case a: S = 1 and P = 5. In this case, the answer to the target question is S + P = 1 + 5 = 6
Case b: S = 2 and P = 10. In this case, the answer to the target question is S + P = 2 + 10 = 12
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: There are 16 more plain rolls than seeded rolls on the counter.
In other words, P = S + 15
There are several values of S and P that satisfy statement 1. Here are two:
Case a: S = 1 and P = 16. In this case, the answer to the target question is S + P = 1 + 16 = 17
Case b: S = 2 and P = 17. In this case, the answer to the target question is S + P = 2 + 17 = 19
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that 5S = P
Statement 2 tells us that P = S + 15
ASIDE: Although we COULD solve the above system of equations (and then find the value of P + S), we would never waste valuable time on test day doing so. We need only determine that we COULD answer the target question.
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT

Answer: C

Cheers,
Brent
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Fractions/Ratios  [#permalink]

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New post 27 Dec 2018, 00:33
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.
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Re: Fractions/Ratios  [#permalink]

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New post 27 Dec 2018, 00:48
sakshamjinsi wrote:
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.


This is a very easy question of data sufficiency.
Given : There are two types of rolls on a counter, plain rolls (p) and seeded rolls(s).
Question : What is the total number(t) of rolls on the counter?

Statement (1): The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter is 1 to 5.
s/p = 1/5
p = 5s

t = p+s = 6s
i.e. total number of rolls is multiple of 6, but we can't determine the exact number of total roles.
NOT SUFFICIENT

(2) There are 16 more plain rolls than seeded rolls on the counter
p = 16 + s
t = p +s = 16 +2s
Again we can't determine the exact number of total roles.
NOT SUFFICIENT

Combined : t = 6s = 16 +2s
s = 4
t = 24
SUFFICIENT

Answer C
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Re: There are two types of rolls on a counter, plain rolls and seeded roll  [#permalink]

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New post 27 Dec 2018, 01:16
sakshamjinsi wrote:
There are two types of rolls on a counter, plain rolls and seeded rolls. What is the total number of rolls on the counter?

(1) The ratio of the number of seeded rolls on the counter to the number of plain rolls on the counter is 1 to 5.
(2) There are 16 more plain rolls than seeded rolls on the counter.


Merging topics. Please search before posting and name topics properly. Check our rules here: https://gmatclub.com/forum/rules-for-po ... 33935.html Thank you.
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Re: There are two types of rolls on a counter, plain rolls and seeded roll   [#permalink] 27 Dec 2018, 01:16
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