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# Rita's monthly salary is 2/3 Juanita's monthly salary. What is their

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Re: Rita's monthly salary is 2/3 Juanita's monthly salary. What is their [#permalink]
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carcass wrote:
Rita's monthly salary is $$\frac{2}{3}$$ Juanita's monthly salary. What is their combined monthly salary?

(1) Rita's monthly salary is $4,000. (2) Either Rita's monthly salary or Juanita's monthly salary is$ 6,000.

(1) $$4000=\frac{2}{3}$$J Sufficient.

(2) The salary can be either one's Insufficient.

The answer is $$A$$
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Re: Rita's monthly salary is 2/3 Juanita's monthly salary. What is their [#permalink]
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carcass wrote:
Rita's monthly salary is $$\frac{2}{3}$$ Juanita's monthly salary. What is their combined monthly salary?

(1) Rita's monthly salary is $4,000. (2) Either Rita's monthly salary or Juanita's monthly salary is$ 6,000.

Solution:

We need to determine the combined monthly salary of Rita and Juanita, given that Rita earns 2/3 of what Juanita earns in a month.

Statement One Alone:

Since Rita earns $4,000 a month and if we let J = Juanita's monthly salary, we can create the equation: 4000 = 2/3 * J J = 4000 * 3/2 = 6000 Therefore, together they earn 4000 + 6000 =$10,000 a month. Statement one alone is sufficient.

Statement Two Alone:

If Rita earns $6,000, then Juanita will earn more than$6,000, their combined monthly salary would be more than $12,000. However, if Juanita earns$6,000, then Rita will earn less than $6,000, their combined monthly salary would be less than$12,000. Since their combined monthly salary could either be more than $12,000 or less than$12,000 (depending on who earns \$6,000), statement two alone is not sufficient.

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Rita's monthly salary is 2/3 Juanita's monthly salary. What is their [#permalink]
In statement 1, there is a definite information about Rita's salary, and in the question, there is a definite information between Rita and Junaita's salary.

So putting the values there, we can see Junaita's salary is 6k.

In statement 2, it's not giving a definite information. We can choose accordinly. If we choose Junaita's salary is 6k, then Rita's salary is 4k.

So we would get 2 different values for 2 of the choices, and thus can't be considered. So the correct option is A.
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Re: Rita's monthly salary is 2/3 Juanita's monthly salary. What is their [#permalink]
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Re: Rita's monthly salary is 2/3 Juanita's monthly salary. What is their [#permalink]
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