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Bunuel
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The local bowling alley has three categories of bowlers; beginner, int 27 Dec 2017, 02:28
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90% (01:45) correct 10% (02:44) wrong based on 73 sessions

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The local bowling alley has three categories of bowlers; beginner, intermediate and expert. If there are 6 beginning bowlers for every 5 intermediate bowlers and 5 beginning bowlers for every expert bowler, what is the ratio of intermediate bowlers to all bowlers?

A. 30 : 61
B. 25 : 61
C. 25 : 54
D. 1 : 4
E. 1 : 3
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B
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The local bowling alley has three categories of bowlers; beginner, int 27 Dec 2017, 04:58
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let the number of different types of bowlers be b,i,e (for beginning bowlers, intermediate bowlers, expert bowler respectively)
there are 6 beginning bowlers for every 5 intermediate bowlers => b= 6x; i=5x
5 beginning bowlers for every expert bowler => b= 5y; e=y
=> 5y=6x => y=6x/5 => e=6x/5

Required ratio = i/(b+i+e) = 5x /(6x+5x+6x/5)
= 25x/(55x+6x)
=25/61
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The local bowling alley has three categories of bowlers; beginner, int 27 Dec 2017, 11:26
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Bunuel
The local bowling alley has three categories of bowlers; beginner, intermediate and expert. If there are 6 beginning bowlers for every 5 intermediate bowlers and 5 beginning bowlers for every expert bowler, what is the ratio of intermediate bowlers to all bowlers?

A. 30 : 61
B. 25 : 61
C. 25 : 54
D. 1 : 4
E. 1 : 3
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Attachment:
Ratio.PNG
Ratio.PNG [ 2.96 KiB | Viewed 2280 times ]
Total number of bowlers is 30+25+6 = 61

So, the ratio of intermediate bowlers to all bowlers is \(25:61\)

Answer will be (C)
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The local bowling alley has three categories of bowlers; beginner, int 27 Dec 2017, 16:04
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Abhishek009
Bunuel
The local bowling alley has three categories of bowlers; beginner, intermediate and expert. If there are 6 beginning bowlers for every 5 intermediate bowlers and 5 beginning bowlers for every expert bowler, what is the ratio of intermediate bowlers to all bowlers?

A. 30 : 61
B. 25 : 61
C. 25 : 54
D. 1 : 4
E. 1 : 3
Attachment:
Ratio.PNG
Total number of bowlers is 30+25+6 = 61

So, the ratio of intermediate bowlers to all bowlers is \(25:61\)

Answer will be (C)
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Hi Abhishek,

Your calculation is correct, but your answer is wrong. :-)
The answer is B not C. I have marked that with RED text.
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The local bowling alley has three categories of bowlers; beginner, int 27 Dec 2017, 18:12
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Bunuel
The local bowling alley has three categories of bowlers; beginner, intermediate and expert. If there are 6 beginning bowlers for every 5 intermediate bowlers and 5 beginning bowlers for every expert bowler, what is the ratio of intermediate bowlers to all bowlers?

A. 30 : 61
B. 25 : 61
C. 25 : 54
D. 1 : 4
E. 1 : 3
Show more

\(Beginner=b;Intermediate=i;Expert=e\)

What is \(\frac{i}{(b+i+e)}?\)

\(6b=5i\), so \(\frac{i}{b}=\frac{5x}{6x}\) and \(e=5b\) so \(\frac{e}{b}=\frac{y}{5y}\)

Least common multiple of \(b=6x\) and \(b=5y\) is \(30\).

Multiples \(x\) and \(y\) will merge to \(z\).

New ratio \(i:b:e=[5x*(5):(30x=30y):y*(6)]=25z:30z:6z\)

Substitute values for \(i,b,e\): \(\frac{i}{(b+i+e)}=\frac{25z}{30z+25z+6z}=\frac{25z}{61z}=25:61\)

(B) is the answer.
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