Use the image to answer the question. Ruthie plays on a travel soccer league. For every 7 shots she takes on goal, she scores twice. If she scores 8 times, how many shots on goal did she take? Responses 36 shots 36 shots - no response given 8 shots 8 shots - no response given 56 shots 56 shots - no response given 28 shots

Answer 1

To find out how many shots Ruthie took, we first need to understand the relationship between the shots taken and the goals scored.

According to the information provided, for every 7 shots on goal, Ruthie scores 2 times. We can set up a proportion to find the total shots when she scores 8 times.

The ratio of goals to shots is:

• 2 goals for every 7 shots.

If she scores 8 times, we can set up a proportion like this:

\[ \frac{2 \text{ goals}}{7 \text{ shots}} = \frac{8 \text{ goals}}{x \text{ shots}} \]

Cross-multiply to solve for \(x\):

\[ 2x = 7 \times 8 \]

Calculating the right side:

\[ 2x = 56 \]

Now, divide both sides by 2:

\[ x = 28 \]

Thus, Ruthie took 28 shots on goal.

The answer is 28 shots.