Sonia
Number of problems:
6, 18, 25, 60
Minutes of writing:
120, 360, 500, 1,200
_______________________
Maryna
Number of problems:
8, 15, 20, 50
Number of writing:
200, 375, 500, 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.
Options:
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
Maryna spent more time writing per problem at the unit rate of 25 min 1 problem
Sonia spent more time writing per problem at the unit rate of 20 min 1 problem
Maryna spent more time writing per problem at the unit rate of 25 min 1 problem.
To determine who spent more time writing per problem, we need to calculate the unit rate for each writer.
Let's start with Sonia:
Sonia wrote a total of 6 problems in 120 minutes.
To find the unit rate, divide the total minutes by the total number of problems:
120 minutes / 6 problems = 20 minutes per problem
Now let's calculate the unit rate for Maryna:
Maryna wrote a total of 8 problems in 200 minutes.
To find the unit rate, divide the total minutes by the total number of problems:
200 minutes / 8 problems = 25 minutes per problem
Now that we have both unit rates, let's compare:
- Sonia spent 20 minutes per problem.
- Maryna spent 25 minutes per problem.
From this comparison, we can see that Maryna spent more time writing per problem at the unit rate of 25 minutes per problem.
Therefore, the correct answer is: Maryna spent more time writing per problem at the unit rate of 25 min 1 problem.
To determine who spent more time writing per problem, we need to calculate the unit rate for each writer. The unit rate is the time spent writing divided by the number of problems.
For Sonia:
- In the first case, Sonia spent 120 minutes writing 6 problems. The unit rate is 120/6 = 20 minutes per problem.
- In the second case, Sonia spent 360 minutes writing 18 problems. The unit rate is 360/18 = 20 minutes per problem.
- In the third case, Sonia spent 500 minutes writing 25 problems. The unit rate is 500/25 = 20 minutes per problem.
- In the fourth case, Sonia spent 1200 minutes writing 60 problems. The unit rate is 1200/60 = 20 minutes per problem.
For Maryna:
- In the first case, Maryna spent 200 minutes writing 8 problems. The unit rate is 200/8 = 25 minutes per problem.
- In the second case, Maryna spent 375 minutes writing 15 problems. The unit rate is 375/15 = 25 minutes per problem.
- In the third case, Maryna spent 500 minutes writing 20 problems. The unit rate is 500/20 = 25 minutes per problem.
- In the fourth case, Maryna spent 1250 minutes writing 50 problems. The unit rate is 1250/50 = 25 minutes per problem.
Comparing the unit rates, we can see that both Sonia and Maryna spent the same amount of time writing per problem at the unit rate of 20 minutes per problem.
Therefore, the correct answer is:
Sonia spent the same amount of time as Maryna writing per problem at the unit rate of 20 min 1 problem.