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Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much

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by AAPL » Mon Nov 09, 2026 8:30 am
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Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?

1. Last year, the total amount that Arturo spent on his real estate taxes and home insurance was \(33 \,\frac{1}{3}\) percent of the amount that he spent on his mortgage payments

2. Last year, the amount that Arturo spent on his real estate taxes was \(20\) percent of the total amount he spent on his mortgage payments and home insurance

OA B
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Source: — Data Sufficiency |

What we see: a Data Sufficiency question about parts of a total. Arturo spent $12,000 on three things: mortgage \(M\), real estate taxes \(T\) and home insurance \(I\). We must find \(T\).

Step 1. Write the one equation we have.
What we see: the three costs add to $12,000.
What it means: \(M + T + I = 12{,}000\). Three unknowns and one equation, so we need a statement that lets us pull \(T\) out by itself.

Step 2. Statement 1 alone.
What we see: taxes plus insurance were \(33\tfrac{1}{3}\) percent, which is one third, of the mortgage.
What it means: \(T + I = \tfrac{1}{3}M\). Put that into the total: \(M + \tfrac{1}{3}M = 12{,}000\), so \(M = 9{,}000\) and \(T + I = 3{,}000\).
What we do and why: we know taxes and insurance together, but not how the $3,000 splits. Taxes could be $1,000 or $2,500. Not sufficient.

Step 3. Statement 2 alone.
What we see: taxes were 20 percent of mortgage plus insurance.
What it means: \(T = 0.2(M + I)\), so \(M + I = 5T\).
What we do and why: put \(5T\) in place of \(M + I\) in the total: \(5T + T = 12{,}000\), so \(T = 2{,}000\). One value. Sufficient.

The trap: picking C. Statement 1 gives two clean numbers, $9,000 and $3,000, so it feels like the other statement is needed to finish. But statement 2 already compares taxes to everything else, which is all we need.
Faster way: a statement that compares the one part you want to the sum of all the other parts always gives that part when the total is known: here taxes are 1 share and the rest is 5 shares, so taxes are \(\tfrac{1}{6}\) of $12,000.
Takeaway: when you know the total, look for a statement that ties the part you want to "the rest." A statement that ties the other parts together leaves your part mixed in with something else.

Answer: B
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