Set up and solve a proportion to solve the problem.

Christopher plays quarterback for a neighborhood football team. During his team’s first game, he executed
60
60 plays,
42
42 of which were successful. What percent of Christopher’s plays were successful?

%

1 answer

To find out the percentage of successful plays Christopher executed, we can set up a proportion based on the number of successful plays and the total number of plays.

Let \( x \) represent the percentage of successful plays. We know:

  • Successful plays = 42
  • Total plays = 60

We can set up the proportion as follows:

\[ \frac{\text{Successful Plays}}{\text{Total Plays}} = \frac{x}{100} \]

Substituting the known values into the equation, we get:

\[ \frac{42}{60} = \frac{x}{100} \]

Next, we can solve this proportion by cross-multiplying:

\[ 42 \cdot 100 = 60 \cdot x \]

This simplifies to:

\[ 4200 = 60x \]

Now, we can isolate \( x \) by dividing both sides by 60:

\[ x = \frac{4200}{60} \]

\[ x = 70 \]

Thus, the percentage of Christopher’s successful plays is:

\[ \boxed{70%} \]