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Question

An illustration shows a set of seven adjacent rectangles labeled as Shots. Another set of two adjacent rectangles is labeled as Scores and is placed below Shots. All rectangles have the same dimensions. A downward-facing bracket is placed below the set of two rectangles and points to the number 8.

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?

(1 point)
Responses

8 shots
8 shots

56 shots
56 shots

28 shots
28 shots

36 shots
36 shots
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Answer 1

To determine how many shots Ruthie took on goal, we can set up a relationship based on the information given.

According to the scenario, for every 7 shots (S) Ruthie takes, she scores 2 times (Sc). This can be expressed as:

\[ \frac{S}{7} = \frac{Sc}{2} \]

If Ruthie scores 8 times (Sc = 8), we can substitute that into the equation:

\[ \frac{S}{7} = \frac{8}{2} \]

This simplifies to:

\[ \frac{S}{7} = 4 \]

Now, we can solve for S:

\[ S = 4 \times 7 = 28 \]

So, the number of shots on goal Ruthie took is 28 shots.

Thus, the correct response is:

28 shots