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Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to

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by M7MBA » Fri Dec 11, 2020 2:38 am

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Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrots to the number of celery sticks?

(1) The number of carrots is 8/15 the number of Brussel sprouts
(2) The number of Brussel sprouts is three times the number of celery sticks.

Answer: C

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Re: Levon has carrots, Brussel sprouts, and celery sticks in his refrigerator. What is the ratio of the number of carrot

by deloitte247 » Sat Dec 12, 2020 6:01 am
Target question => What is the ratio of the number of carrots to the number of celery sticks


Let the number of carrots = c; brussel sprouts = b; and celery sticks = s. Find c:s


Statement 1 => The number of carrots is 8/15 the number of Brussel sprouts
c = 8/15 b but there is no information on the value of s so statement 1 is NOT SUFFICIENT


Statement 2 => The number of Brussel sprouts is three times the number of celery sticks
b = 3s but there is no information on the value of c so statement 2 is NOT SUFFICIENT


Combining both statements together =>
From statement 1 => c = 8/15 b
From statement 2 => b = 35
To get c:s, substitute the value of b in statement 2 to b in statement 1
c = 8/15 * 3s
c = 8/5 s
1:8/5 c/s = 1 / 8/5 = 1 * 5/8 = 5/8
c:s = 5:8
Both statements combined together ARE SUFFICIENT


Answer = C
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