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# Seven is equal to how many thirds of seven ?

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Math Expert
Joined: 02 Sep 2009
Posts: 51073
Seven is equal to how many thirds of seven ?  [#permalink]

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27 Jun 2018, 20:45
00:00

Difficulty:

25% (medium)

Question Stats:

62% (00:33) correct 38% (00:40) wrong based on 94 sessions

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Seven is equal to how many thirds of seven ?

(A) $$\frac{1}{3}$$

(B) 1

(C) 3

(D) 7

(E) 21

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Re: Seven is equal to how many thirds of seven ?  [#permalink]

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27 Jun 2018, 21:11

Solution

To find:
• 7 is equal to how many thirds of 7

Approach and Working:
If we assume that 7 is equal to n-thirds of 7, we can rewrite the given statement in terms of the following expression:
• $$\frac{n}{3} * 7 = 7$$
Or, $$\frac{n}{3} = 1$$
Or, n = 3

Hence, the correct answer is option C.

Answer: C
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Seven is equal to how many thirds of seven ?  [#permalink]

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28 Jun 2018, 06:40
Bunuel wrote:
Seven is equal to how many thirds of seven ?

(A) $$\frac{1}{3}$$

(B) 1

(C) 3

(D) 7

(E) 21

No need for arithmetic or algebra. A whole divided into three parts has ... 3 parts

There are 3 one-third "parts" in any "whole," whether the whole = 1, 7, or 999,999

ANSWER C

Alternatively, translate into an equation

N = "how many" = # of "thirds of 7"
"thirds of 7" = $$\frac{1}{3}*7$$

$$7=N*\frac{1}{3}*7$$
$$21=7N$$
$$N=3$$

Answer C
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Re: Seven is equal to how many thirds of seven ?  [#permalink]

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02 Jul 2018, 08:35
Bunuel wrote:
Seven is equal to how many thirds of seven ?

(A) $$\frac{1}{3}$$

(B) 1

(C) 3

(D) 7

(E) 21

7/(7/3) = 7 x 3/7 = 3

Alternate Solution:

Wording is most important in answering this question. The phrase “thirds of seven” simply means 1/3 of 7, which is (1/3) x 7, or 7/3.

Let’s let n = how many thirds of seven there are in seven. We can now express the question as:

7 = n x (7/3)

Multiplying both sides by 3/7, we obtain:

7 x (3/7) = n

3 = n

Answer: C
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Re: Seven is equal to how many thirds of seven ? &nbs [#permalink] 02 Jul 2018, 08:35
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# Seven is equal to how many thirds of seven ?

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