John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's thrown this year. How many passes has John thrown this year?
Q. John is a quarterback. This year, he completed 350 passes, which is 70% of all the passes he's thrown this year. How many passes has John thrown this year?
Problem Understanding: Understand the problem.John completed 350 passes, which is 70% of all the passes he's thrown. We need to find the total number of passes he's thrown.
Variable Representation: Express the total number of passes thrown as a variable.Let x represent the total number of passes John has thrown this year.
Equation Setup: Set up the equation.Since 350 passes is 70% of the total, we can write the equation as 350=0.70×x.
Solving for x: Solve for x.To find x, we divide both sides of the equation by 0.70.x=0.70350
Calculation: Perform the calculation. x=500
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