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Each piece of candy in a certain jar is either brown, red, or green. If the jar has a total of 312 pieces of candy, what is the ratio of the number of green pieces of candy to the number of brown pieces of candy in the jar?
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
screen.png [ 47.38 KiB | Viewed 4889 times ]
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
Attachment:
screen.png [ 47.38 KiB | Viewed 4889 times ]
10 Nov 2023, 12:02
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averagedude23
Each piece of candy in a certain jar is either brown, red, or green. If the jar has a total of 312 pieces of candy, what is the ratio of the number of green pieces of candy to the number of brown pieces of candy in the jar?
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
\(B + R + G = 312\)
- B → Number of brown balls
- R → Number of red balls
- G → Number of green balls
Question = \(\frac{G}{B} = ?\)
Statement 1
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
\(G = (1+\frac{200}{100})*B\)
\(G = 3B\)
\(\frac{G}{B} = 3\)
The statement is sufficient. Eliminate B, C, and E.
Statement 2
(2) There are 216 red pieces of candy in the jar.
R = 216
While we can find the value of B + G, we can't find the value of B/G.
Hence, the statement alone is not sufficient.
Option A
General Discussion
24 Dec 2024, 23:01
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averagedude23
Each piece of candy in a certain jar is either brown, red, or green. If the jar has a total of 312 pieces of candy, what is the ratio of the number of green pieces of candy to the number of brown pieces of candy in the jar?
(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
B + R + G = 312(1) There are 200 percent more green pieces of candy than brown pieces of candy in the jar.
(2) There are 216 red pieces of candy in the jar.
Question: G : B = ?
Statement 1: G = 3*B
i.e. G:B = 3:1
SUFFICIENT
Statement 2: R = 216
We don't know how many of teh remaining candies are green and how many are brown hence their ratio can NOT be determined hence
NOT SUFFICIENT
Answer: Option A
