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Re: if the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
I don't understand the organization of the answers. Am I even interpreting the question correctly?

Am I supposed to be converting from mixed to improper fractions? 4 to 11/2 is equal to y to 19/8? What's the next step after?
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If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
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OCDianaOC wrote:
I don't understand the organization of the answers. Am I even interpreting the question correctly?

Am I supposed to be converting from mixed to improper fractions? 4 to 11/2 is equal to y to 19/8? What's the next step after?


If the ratio of \(4\) to \(5\frac{1}{2}\) is equal to the ratio of y to \(2\frac{3}{8}\) then \(y =\)

(A) \(\frac{11}{8}\)

(B) \(\frac{3}{2}\)

(C) \(\frac{14}{9}\)

(D) \(\frac{19}{11}\)

(E) \(\frac{15}{8}\)


\(5\frac{1}{2}=\frac{11}{2}\) and \(2\frac{3}{8}=\frac{19}{8}\):

Given: \(\frac{4}{(\frac{11}{2})} = \frac{y}{(\frac{19}{8})}\);

\(\frac{8}{11} = \frac{8y}{19}\)

\(y= \frac{19}{11}\).

Answer: D.
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Re: If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
Bunuel wrote:
OCDianaOC wrote:
I don't understand the organization of the answers. Am I even interpreting the question correctly?

Am I supposed to be converting from mixed to improper fractions? 4 to 11/2 is equal to y to 19/8? What's the next step after?


If the ratio of \(4\) to \(5\frac{1}{2}\) is equal to the ratio of y to \(2\frac{3}{8}\) then \(y =\)

(A) \(\frac{11}{8}\)

(B) \(\frac{3}{2}\)

(C) \(\frac{14}{9}\)

(D) \(\frac{19}{11}\)

(E) \(\frac{15}{8}\)


\(5\frac{1}{2}=\frac{11}{2}\) and \(2\frac{3}{8}=\frac{19}{8}\):

Given: \(\frac{4}{(\frac{11}{2})} = \frac{y}{(\frac{19}{8})}\);

\(\frac{8}{11} = \frac{8y}{19}\)

\(y= \frac{19}{11}\).

Answer: D.


Oooooh! I finally understand now. Thank you, Bunuel! You're the best!
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Re: If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
5(1/2)=11/2
2(3/8)=19/8

4/(11/2)=y/(19/8)
8/11=8y/19
y=19/11
So D should be the answer
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Re: If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
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Re: If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y [#permalink]
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