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# An association of mathematics teachers has 1,260 members. Only 525 of

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Re: An association of mathematics teachers has 1,260 members. Only 525 of [#permalink]
Any faster way to calculate that 315/1260 = 25%? - Other than endlessly dividing it till one gets 1/4?
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Re: An association of mathematics teachers has 1,260 members. Only 525 of [#permalink]
Bunuel wrote:
An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?

(A) 75%
(B) 58%
(C) 42%
(D) 34%
(E) 25%

60% of 525 = 315

315/525*100 = 25%, Answer must be (E)
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Re: An association of mathematics teachers has 1,260 members. Only 525 of [#permalink]
dortinator1234923 wrote:
Any faster way to calculate that 315/1260 = 25%? - Other than endlessly dividing it till one gets 1/4?

­
Hi! I know you posted this a long time ago, but I thought I'd take a crack at this since I came here wondering the same thing (a few years after), and here's what I came up with:
• Using the answering choices, I see that 2 options give me nice simple fractions: A) 75% = 3/4, and E) 25% = 1/4
• From here, I see they have a common denominator of 4, so I'd try dividing 1,260 by 4 first. I also see that 1,260 is divisible by 4 because the last two digits are divisible by 4 (divisibility rules)
• 1,260/4 = 315, therefore simplifying the entire fraction down to 1/4, or answer E).
Re: An association of mathematics teachers has 1,260 members. Only 525 of [#permalink]
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