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John is a quarterback. This year, he completed xx passes, which is xy\frac{x}{y} of all the passes he's attempted this year. How many passes has John attempted this year?

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Full solution

Q. John is a quarterback. This year, he completed xx passes, which is xy\frac{x}{y} of all the passes he's attempted this year. How many passes has John attempted this year?
  1. Identify fraction of passes: Step 11: Identify the fraction of completed passes to total attempts.\newlineJohn completed 120120 passes, which is 33/55 of his total attempts. Let's denote the total number of attempts as x.\newlineCalculation: 35x=120 \frac{3}{5}x = 120
  2. Solve for total attempts: Step 22: Solve for x to find the total number of attempts.\newlineTo find x, divide both sides of the equation by 33/55.\newlineCalculation: x=12035=120×53=200 x = \frac{120}{\frac{3}{5}} = \frac{120 \times 5}{3} = 200

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