Question

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?



%

Answer 1

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:

\[
\boxed{70\%}
\]