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Marina. Sonya.

8|200. 6|120
15|375. 18|360
20|500. 25|500
50| 1,250. 60| 1,200
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. (1 point) Responses Maryna spent more time writing per problem at the the unite rate of 25min.1 problem . Maryna spent more time writing per problem at the the unite rate of 25min.1 problem . Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem . Sonia spent more time writing per problem at the unit rate of 20 min. 1 problem . Maryna spent less time writing per problem at the unit rate of 1 min.25 problems . Maryna spent less time writing per problem at the unit rate of 1 min.25 problems . Sonia spent the same amount of time as Maryna time writing per problem at the unit rate of 25 min.1 problem .

1 answer

To determine who spent more time writing per problem, we need to calculate the unit rate for the time spent writing each math problem for both Marina and Sonya based on the data provided.

Marina's Data:

  1. 8 problems in 200 minutes: \[ \text{Unit rate} = \frac{200 \text{ minutes}}{8 \text{ problems}} = 25 \text{ min/problem} \]

  2. 15 problems in 375 minutes: \[ \text{Unit rate} = \frac{375 \text{ minutes}}{15 \text{ problems}} = 25 \text{ min/problem} \]

  3. 20 problems in 500 minutes: \[ \text{Unit rate} = \frac{500 \text{ minutes}}{20 \text{ problems}} = 25 \text{ min/problem} \]

  4. 50 problems in 1250 minutes: \[ \text{Unit rate} = \frac{1250 \text{ minutes}}{50 \text{ problems}} = 25 \text{ min/problem} \]

Sonya's Data:

  1. 6 problems in 120 minutes: \[ \text{Unit rate} = \frac{120 \text{ minutes}}{6 \text{ problems}} = 20 \text{ min/problem} \]

  2. 18 problems in 360 minutes: \[ \text{Unit rate} = \frac{360 \text{ minutes}}{18 \text{ problems}} = 20 \text{ min/problem} \]

  3. 25 problems in 500 minutes: \[ \text{Unit rate} = \frac{500 \text{ minutes}}{25 \text{ problems}} = 20 \text{ min/problem} \]

  4. 60 problems in 1200 minutes: \[ \text{Unit rate} = \frac{1200 \text{ minutes}}{60 \text{ problems}} = 20 \text{ min/problem} \]

Conclusion:

  • Marina spent 25 minutes per problem.
  • Sonya spent 20 minutes per problem.

Therefore, Marina spent more time writing per problem at the unit rate of 25 min/problem.