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
Q. 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
Identify Variable: Understand the problem and represent the unknown quantity with a variable.Let x be the total number of passes John has attempted this year. We are given that John completed 350 passes, which is 70% of all the passes he attempted. We can express this relationship as 350=0.70×x.
Set Up Equation: Set up the equation based on the information given.The equation to represent the situation is 350=0.70×x.
Solve for x: Solve the equation for x to find the total number of passes attempted.To find x, we divide both sides of the equation by 0.70.x=0.70350
Perform Calculation: Perform the calculation to determine the value of x.x=0.70350x=500
Verify Solution: Verify that the solution makes sense in the context of the problem.If John has attempted 500 passes and completed 350 of them, then he has indeed completed 70% of his attempted passes because 350 is 70% of 500.
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