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# If the ratio of a to b is 6 to 7, which of the following tw

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If the ratio of a to b is 6 to 7, which of the following tw [#permalink]  26 Jun 2020, 09:35
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85% (00:34) correct 14% (-1:-35) wrong based on 7 sessions
If the ratio of a to b is 6 to 7, which of the following two answer choices are true ?

A. $$a=36,b=49$$

B. $$a=30,b=35$$

C. $$a=14,b=12$$

D. $$a=7,b=8$$

E. $$a=3, b=\frac{7}{2}$$

F. $$a=0,b=\frac{6}{7}$$
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 11958
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Kudos [?]: 2983 [0], given: 11204

Re: If the ratio of a to b is 6 to 7, which of the following tw [#permalink]  26 Jun 2020, 09:36
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Kudos [?]: 15 [1] , given: 16

Re: If the ratio of a to b is 6 to 7, which of the following tw [#permalink]  27 Jun 2020, 01:40
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Let's calculate $$\frac{a}{b}$$ for all the answer choices and check which ones are equal to $$\frac{6}{7}$$

A) $$\frac{36}{49}$$ --> No

B) $$\frac{30}{35}$$ = $$\frac{6}{7}$$ --> Yes

C) $$\frac{14}{12}$$ = $$\frac{7}{6}$$ --> No

D) $$\frac{7}{8}$$ --> No

E) $$\frac{3}{(7/2)}$$ = 3 * $$\frac{2}{7}$$ = $$\frac{6}{7}$$ --> Yes

F) 0 --> No
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Kudos [?]: 32 [1] , given: 2

Re: If the ratio of a to b is 6 to 7, which of the following tw [#permalink]  27 Jun 2020, 19:01
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Carcass wrote:
If the ratio of a to b is 6 to 7, which of the following two answer choices are true ?

A. $$a=36,b=49$$

B. $$a=30,b=35$$

C. $$a=14,b=12$$

D. $$a=7,b=8$$

E. $$a=3, b=\frac{7}{2}$$

F. $$a=0,b=\frac{6}{7}$$

All we need to do for this problem is find answer choices in which the both parts of the ratio are scaled up (or down) by the same factor.

This is true for Choice B, since $$6*5 = 30$$ and $$7*5 = 35$$.
It's also true for Choice E, since $$6*\frac{1}{2}=3$$ and $$7*\frac{1}{2}=\frac{7}{2}$$

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Re: If the ratio of a to b is 6 to 7, which of the following tw   [#permalink] 27 Jun 2020, 19:01
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