John is a quarterback. This year, he completed passes, which is of all the passes he's attempted this year. How many passes has John attempted this year?

Identify fraction of passes: Step 1: Identify the fraction of completed passes to total attempts. John completed 120 passes, which is 3/5 of his total attempts. Let's denote the total number of attempts as x. Calculation: $ \frac{3}{5}x = 120 $Solve for total attempts: Step 2: Solve for x to find the total number of attempts. To find x, divide both sides of the equation by 3/5. Calculation: $ x = \frac{120}{\frac{3}{5}} = \frac{120 \times 5}{3} = 200 $

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

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Q. John is a quarterback. This year, he completed

x

passes, which is

\frac{x}{y}

of all the passes he's attempted this year. How many passes has John attempted this year?

Identify fraction of passes: Step $1$ : Identify the fraction of completed passes to total attempts. $\newline$ John completed $120$ passes, which is $3$ / $5$ of his total attempts. Let's denote the total number of attempts as x. $\newline$ Calculation: $\frac{3}{5}x = 120$
Solve for total attempts: Step $2$ : Solve for x to find the total number of attempts. $\newline$ To find x, divide both sides of the equation by $3$ / $5$ . $\newline$ Calculation: $x = \frac{120}{\frac{3}{5}} = \frac{120 \times 5}{3} = 200$