Question

Use the tables to answer the question. Sonia Number of Problems Minutes of Writing 6 120 18 360 25 500 60 1,200 Maryna Number of Problems Minutes of Writing 8 200 15 375 20 500 50 1,250 Based on the tables showing the number of minutes two writers spent writing math problems for two different lessons, who spent more time writing per problem? Write the answer in unit rate form.

Answer 1

To find out who spent more time writing per problem, we need to calculate the unit rate of minutes spent writing per problem for both Sonia and Maryna. This can be done by dividing the total minutes of writing by the number of problems for each entry.

Sonia

1. \( \frac{120 \text{ minutes}}{6 \text{ problems}} = 20 \text{ minutes/problem} \)
2. \( \frac{360 \text{ minutes}}{18 \text{ problems}} = 20 \text{ minutes/problem} \)
3. \( \frac{500 \text{ minutes}}{25 \text{ problems}} = 20 \text{ minutes/problem} \)
4. \( \frac{1200 \text{ minutes}}{60 \text{ problems}} = 20 \text{ minutes/problem} \)

Average for Sonia:
All calculations result in 20 minutes/problem.

Maryna

1. \( \frac{200 \text{ minutes}}{8 \text{ problems}} = 25 \text{ minutes/problem} \)
2. \( \frac{375 \text{ minutes}}{15 \text{ problems}} = 25 \text{ minutes/problem} \)
3. \( \frac{500 \text{ minutes}}{20 \text{ problems}} = 25 \text{ minutes/problem} \)
4. \( \frac{1250 \text{ minutes}}{50 \text{ problems}} = 25 \text{ minutes/problem} \)

Average for Maryna:
All calculations result in 25 minutes/problem.

Conclusion

Sonia spent 20 minutes per problem, while Maryna spent 25 minutes per problem. Thus, Maryna spent more time writing per problem.

Final Answer: Maryna: 25 minutes/problem.