To determine if Pennant Sports Shop sold the same ratio of defense sticks to total lacrosse sticks on both days, we can calculate the ratio for each day.
Friday:
- Total lacrosse sticks sold: 25
- Defense sticks sold: 10
The ratio of defense sticks to total lacrosse sticks on Friday is: \[ \text{Ratio on Friday} = \frac{\text{Defense sticks}}{\text{Total sticks}} = \frac{10}{25} = \frac{2}{5} \]
Saturday:
- Total lacrosse sticks sold: 50
- Defense sticks sold: 15
The ratio of defense sticks to total lacrosse sticks on Saturday is: \[ \text{Ratio on Saturday} = \frac{\text{Defense sticks}}{\text{Total sticks}} = \frac{15}{50} = \frac{3}{10} \]
Now, we need to compare the two ratios:
- Ratio on Friday: \(\frac{2}{5}\)
- Ratio on Saturday: \(\frac{3}{10}\)
To compare these fractions, we can convert them to a common denominator. The least common multiple of 5 and 10 is 10.
- Convert \(\frac{2}{5}\): \[ \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \]
Now we can compare:
- Ratio on Friday (in terms of 10): \(\frac{4}{10}\)
- Ratio on Saturday: \(\frac{3}{10}\)
Since \(\frac{4}{10} \neq \frac{3}{10}\), we find that the ratios are not the same.
Conclusion: Pennant Sports Shop did not sell the same ratio of defense sticks to total lacrosse sticks on both days.