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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 350350 passes, which is 70% 70 \% of all the passes he's attempted this year.\newlineHow many passes has John attempted this year?\newlinepasses

Full solution

Q. John is a quarterback. This year, he completed 350350 passes, which is 70% 70 \% of all the passes he's attempted this year.\newlineHow many passes has John attempted this year?\newlinepasses
  1. Identify Variable: Understand the problem and represent the unknown quantity with a variable.\newlineLet xx be the total number of passes John has attempted this year. We are given that John completed 350350 passes, which is 70%70\% of all the passes he attempted. We can express this relationship as 350=0.70×x350 = 0.70 \times x.
  2. Set Up Equation: Set up the equation based on the information given.\newlineThe equation to represent the situation is 350=0.70×x350 = 0.70 \times x.
  3. Solve for x: Solve the equation for x to find the total number of passes attempted.\newlineTo find xx, we divide both sides of the equation by 0.700.70.\newlinex=3500.70x = \frac{350}{0.70}
  4. Perform Calculation: Perform the calculation to determine the value of xx.x=3500.70x = \frac{350}{0.70}x=500x = 500
  5. Verify Solution: Verify that the solution makes sense in the context of the problem.\newlineIf John has attempted 500500 passes and completed 350350 of them, then he has indeed completed 70%70\% of his attempted passes because 350350 is 70%70\% of 500500.