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The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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03 Feb 2015, 08:49
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75% (01:37) correct 25% (01:53) wrong based on 218 sessions
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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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03 Feb 2015, 09:03
x equals a increased by 25 percent of a => x = a + 25%a = 1.25a m equals b decreased by 20 percent of b => m = b  20%b = 0.8b m/x = 0.8b/1.25a Putting the value of b/a = 5/4 we get m/x = 4/5 [C]
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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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03 Feb 2015, 09:30
x = 1,25 a m = b+*0,8
A:B 4:5
0.8 * 5/9 = 8/10 * 5/9 = 4/9 1,25 * 4/9 = 125/100 * 4/9 = 5/9
>> m/x = 4:5 > Answer C



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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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03 Feb 2015, 18:31
Bunuel wrote: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5 B. 3/4 C. 4/5 D. 5/4 E. 3/2
Kudos for a correct solution. From the question stem we can see that a:b is 4:5... which is the same as a/b = 4/5. x = a + 0.25a = 1.25a, this is the same as 5/4*(a). m = b  0.2b = 0.8b, this is the same as 4/5*(b). m/x = (4/5*(b))/(5/4*(a))..... is equal to (4b/5)/(5a/4).......this gives us (4b/5)*(4/5a) = (16b)/(25)a. (16b)/(25a) = (16/25)*(b/a) = (16/25)*(5/4) = 4/5. I think the answer is C. Please consider giving me KUDOS if you felt this post was helpful! Thanks.



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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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09 Feb 2015, 03:52
Bunuel wrote: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5 B. 3/4 C. 4/5 D. 5/4 E. 3/2
Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION:The correct response is (C). In multistep problems with numerous variables, it’s a good idea to pick numbers. Since the ratio of a to b is 4 to 5 and a and b are positive, let’s say a = 4 and b = 5. Now we can translate the rest of the problem from English into algebra: “x equals a increased by 25 percent of a” x = 4 + .25(4) x = 4 + 1 x = 5 “m equals b decreased by 20 percent of b” m = 5 – .20(5) m = 5 – 1 m = 4 Therefore, m/x = 4/5.
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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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14 Jun 2017, 21:59
Bunuel wrote: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5 B. 3/4 C. 4/5 D. 5/4 E. 3/2
Kudos for a correct solution. X = 4* 125/100 = 5 M = 5* 80/100 = 4 Ratio = 4/5



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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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15 Jun 2017, 07:27
Bunuel wrote: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5 B. 3/4 C. 4/5 D. 5/4 E. 3/2 Kudos for a correct solution. a = 4 & b = 5 Quote: If x equals a increased by 25 percent of a x = 5 Quote: m equals b decreased by 20 percent of b m = 4 Quote: what is the value of m/x? \(\frac{4}{5}\) Thus, answer will be (C) \(\frac{4}{5}\)
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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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06 Jul 2017, 16:27
Bunuel wrote: The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m/x?
A. 2/5 B. 3/4 C. 4/5 D. 5/4 E. 3/2 We are given that a : b = 4n : 5n. We are also given that x equals a increased by 25 percent of a, and thus: x = a + 0.25a x = 1.25a x = 1.25(4n) x = 5n We are also given that m equals b decreased by 20 percent of b, and thus: m = b  0.2b m = 0.8b m = 0.8(5n) m = 4n Thus, m/x = 4n/5n = 4/5. Answer: C
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Re: The ratio of a to b is 4 to 5, where a and b are positive. If x equals
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16 Sep 2018, 20:52
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