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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?

◻

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? $\newline$ ◻

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Percent of change: find the original amount word problems

Full solution

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?

\newline

◻

Identify Total Passes: Let $x$ be the total number of passes John has thrown this year. $\newline$ Identify the expression for $70\%$ of the total passes. $\newline$ Expression for completed passes: $0.70 \times x$
Find Expression for Completed Passes: We found: Expression for completed passes is $0.70 \times x$ $\newline$ We know: Value for completed passes is $350$ $\newline$ Set up an equation to find $x$ , the total number of passes thrown. $\newline$ Equation for completed passes is $350 = 0.70 \times x$ .
Set Up Equation: We found: $350 = 0.70 \times x$ $\newline$ Solve for $x$ . $\newline$ $0.70 \times x = 350$ $\newline$ $x = \frac{350}{0.70}$ $\newline$ $x = 500$ $\newline$ John has thrown a total of $500$ passes this year.

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