Source: Revised GRE PDF 1st Ed. Section 6: Math; #12 (p. 87)

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# Last year Kate spent between 1/4 and 1/3

Last year Kate spent between 1/4 and 1/3 of her gross income on her mortgage payments. If Kate spent \$13,470 on her mortgage payments last year, which of the following could have been her gross income last year? Indicate all such gross incomes. \$40,200, \$43,350, \$47,256, \$51,996, \$53,808

### 1 Explanation

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Chris Lele, Magoosh Tutor

Sep 26, 2012 • Comment

Alyaa Altabbaa

How did you know to multiply it by 3 and 4 and not (1/3) and (1/4)?

Jun 24, 2015

Jonathan , Magoosh Tutor

Hi Alyaa.

Kate spent \$13,470 on her mortgage payments last year.
We are total that amount represents between 1/3 and 1/4 of her gross income.

The gross income is higher than the mortgage payments.

If (13,470) spent on mortgage payment is a SMALLER fraction of her income, then that means her INCOME is LARGER.

4 * (13,470) gives us her maximum possible gross income. In this case, (13,470) is 1/4 of the income.

3 * ( 13,470) ) gives us her minimum possible income. In this case, (13,470) is 1/3 of the income.

Hope that helps.

Jun 29, 2015