Questions: John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's attempted this year. How many passes has John attempted this year? passes

John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's attempted this year. How many passes has John attempted this year? passes
Transcript text: John is a quarterback. This year, he completed 350 passes, which is $70 \%$ of all the passes he's attempted this year. How many passes has John attempted this year? $\square$ passes
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Solution

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Solution Steps

Step 1: Understand the problem

John completed 350 passes, which is \(70\%\) of all the passes he attempted this year. We need to find the total number of passes he attempted.

Step 2: Set up the equation

Let \(x\) be the total number of passes John attempted. Since 350 passes represent \(70\%\) of \(x\), we can write: \[ 350 = 0.70x \]

Step 3: Solve for \(x\)

To find \(x\), divide both sides of the equation by \(0.70\): \[ x = \frac{350}{0.70} \] \[ x = 500 \]

Final Answer

\(\boxed{500}\) passes

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