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?

Answer 1

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

Ruthie scores 2 goals for every 7 shots she takes. We can set up a proportion to find the number of shots corresponding to her 8 goals:

1. The ratio of goals to shots is given as: \[ \frac{2 \text{ goals}}{7 \text{ shots}} \]

2. We need to find how many shots (\(x\)) correspond to 8 goals. We can set up the equation: \[ \frac{2}{7} = \frac{8}{x} \]

3. Next, we cross-multiply to solve for \(x\): \[ 2x = 7 \cdot 8 \]

4. Calculating the right side: \[ 7 \cdot 8 = 56 \] so, \[ 2x = 56 \]

5. Now, divide both sides by 2: \[ x = \frac{56}{2} = 28 \]

Thus, the total number of shots Ruthie took is \(\boxed{28}\).