In a certain town in Connecticut, the ratio of NY Yankees fans to NY

Question

In a certain town in Connecticut, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 300 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?'

A. 75
B. 80
C. 90
D. 120
E. 133

Kudos for a correct solution.

A. 75
B. 80
C. 90
D. 120
E. 133

AmoyV · Answer

Y:M=3:2
M:B=4:5
Y:M:B=6:4:5

15x=300
x=20
4x=80

Answer: B

Harley1980 · Answer

We have two ratios 3:2 and 4:5
for deciding this task we should find common ratio among these three groups 
We have Mets fans in both ratios: 2 parts of Mets in first ratio and 4 parts of Mets in second ratio
LCM (2, 4) = 4 
so we should multiply first ratio by 2 and get ratio 6:4

So in common for three groups we ratio:
Y M B
6 4 5

For now we should calculate how much people in one part:
for this we should calculate all parts: 6 + 4 + 5 = 15 
and divide 300 people on 15 part: so we have 20 people in 1 part

We need to know how much people in NY Mets group and we know that this group have 4 parts (we should take parts from calculated coomon ratio, not from first ratio)
4 parts * 20 people = 80 people
So answer is B

lipsi18 · Answer

Y/M=3/2; M/B=4/5; M+Y+B=300;
Rearranging above equation in terms of M gives; Y=3/2*M; B=5/4*M; and putting these value to final equation gives:
M+3/2*M+5/4*M= (15/4)M=300; therefore M=80

Hence Answer is B

Thanks,

earnit · Answer

(Yankees) Y:M (Mets) = 3:2

M:B (boston) = 4:5

Combining the ratios: 3:2:5/2 --> 6:4:5

Now total, 15x = 300
x = 20.

Therefore, Mets = 4x = 80

Answer:B

PareshGmat · Answer

Answer = B = 80

Yankees ...................... Met ................ Boston

3 ............................... 2 ..................................

................................... 4 ........................... 5

6 ................................. 4 ............................ 5 (Resultant)

Total fans (6+4+5)x = 300

x = 20

Met fans = 20*4 = 80

KS15 · Answer

Answer=B

NY Yankees/NY Mets=3:2 and NY Mets/Boston Red Sox=4:5
Rationalizing both the fractions
NY Yankees:NY Mets:Boston Reds=6:4:5
Therefore, No of NY Mets Fans=4/15*300=80

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION:

The ratio of iniquitous Yankees fans to pure-hearted Mets fans is 3:2, and the ratio of these same noble Mets fans to the misguided Red Sox fans is 4:5. (The author acknowledges no preferences in this description.) We need to combine these into one ratio, but in order to do that, we need to make the common term, Mets fans, equal in both. Fortunately, Mets fans are represented by 2 in the #rst ratio and 4 in the second ratio, so we just have to multiply the #rst ratio by two—a 3:2 ratio is the same thing as a 6:4 ratio. Now we can combine these into a single 6:4:5 ratio—6 parts Yankees fans, 4 parts Mets fans, and 5 parts Red Sox fans. That's a total of 15 parts in the whole population. Well, there are 300 baseball fans, and if that's 15 parts, each part is worth 300/15 = 20 fans. The Mets fans comprise 4 parts, or 4 × 20 = 80 fans, answer = b. Fewer than the fans of the other two, less virtuous teams: many are called, few are chosen.

Answer: B.

SavageBrother · Answer

Gimme a couple of these at the real test pls

. In a certain town in Connecticut, the ratio of NY Yankees fans to NY Mets fans is 3:2, and the ratio of NY Mets fans to Boston Red Sox fans is 4:5. If there are 300 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many NY Mets fans are there in this town?' A. 75 B. 80 C. 90 D. 120 E. 133 Yankees : Mets : Boston Red Sox Y:M = 3:2 or 6:4 M:B = 4:5 Y:M:B 6:4:5 6+4+5 = 15 300 / 15 = 20 Yankees: 6*20 = 120 Mets: 4*20 = 80 Boston Red Socks: 5*20 = 100 Answer is B.

JeffTargetTestPrep · Answer

We can create the ratios:

Yankees : Mets = 3 : 2

Multiplying by 2 we have:

Yankees : Mets = 6 : 4

and

Mets : Red Sox = 4 : 5

So we can create the ratio:

Yankees : Mets : Red Sox = 6x : 4x : 5x

Now we can create the equation:

6x + 4x + 5x = 300

15x = 300

x = 20

So there are 4 x 20 = 80 Mets fans.

Answer: B

bumpbot · Answer

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In a certain town in Connecticut, the ratio of NY Yankees fans to NY

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In a certain town in Connecticut, the ratio of NY Yankees fans to NY

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