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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

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Joined: 27 Sep 2015
Posts: 57
GMAT 1: 410 Q33 V13
WE: Management Consulting (Computer Software)
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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22 Dec 2015, 14:00
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Question Stats:

94% (01:12) correct 6% (01:38) wrong based on 77 sessions

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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) $$\frac{15}{8}$$

Source: Test 55, S7, Q8, P28 D

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Joined: 27 Sep 2015
Posts: 57
GMAT 1: 410 Q33 V13
WE: Management Consulting (Computer Software)
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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22 Dec 2015, 14:02
4 * 19/8 = 11/2 * y
y = 19/11
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Discipline does not mean control. Discipline means having the sense to do exactly what is needed.

Intern
Joined: 31 Dec 2017
Posts: 19
Concentration: Finance
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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09 Feb 2018, 21:30
RSOHAL wrote:
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) $$\frac{15}{8}$$

Source: Test 55, S7, Q8, P28 D

$$\frac{(4*2)}{11} = \frac{8y}{19}$$

$$\frac{8y}{19} = \frac{8}{11}$$

$$y = \frac{19}{11}$$.
Intern
Joined: 16 Oct 2017
Posts: 37
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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09 Feb 2018, 22:59
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?
Math Expert
Joined: 02 Sep 2009
Posts: 45324
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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09 Feb 2018, 23:05
1
KUDOS
Expert's post
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: $$\frac{4}{(\frac{11}{2})} = \frac{y}{(\frac{19}{8})}$$;

$$\frac{8}{11} = \frac{8y}{19}$$

$$y= \frac{19}{11}$$.

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Intern
Joined: 16 Oct 2017
Posts: 37
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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09 Feb 2018, 23:40
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: $$\frac{4}{(\frac{11}{2})} = \frac{y}{(\frac{19}{8})}$$;

$$\frac{8}{11} = \frac{8y}{19}$$

$$y= \frac{19}{11}$$.

Oooooh! I finally understand now. Thank you, Bunuel! You're the best!
Intern
Joined: 31 Jan 2018
Posts: 16
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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10 Feb 2018, 06:19
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
Re: If the ratio of 4 to 5 1/2 is equal to the ratio of y to 2 3/8 then y   [#permalink] 10 Feb 2018, 06:19
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