Question
Students voted for a new class president and the results are shown in the table.
A 2-column table with 3 rows. Column 1 is labeled Candidate with entries Rosalia, Jocelyn, Danny. Column 2 is labeled Votes with entries 124, 109, 111.
Frank wrote these ratios to describe the number of votes each candidate received compared to the total. Which one is wrong, and why?
124:344 344 to 111 StartFraction 109 Over 344 EndFraction
The denominator of the fraction is incorrect.
The numbers in the ratio 344 to 111 are written in the wrong order.
A colon cannot be used in a ratio.
The word "to" cannot be used to show a ratio.
A 2-column table with 3 rows. Column 1 is labeled Candidate with entries Rosalia, Jocelyn, Danny. Column 2 is labeled Votes with entries 124, 109, 111.
Frank wrote these ratios to describe the number of votes each candidate received compared to the total. Which one is wrong, and why?
124:344 344 to 111 StartFraction 109 Over 344 EndFraction
The denominator of the fraction is incorrect.
The numbers in the ratio 344 to 111 are written in the wrong order.
A colon cannot be used in a ratio.
The word "to" cannot be used to show a ratio.
Answers
GPT-4o mini
To determine which ratio is incorrect, we first need to calculate the total number of votes and then check the ratios provided.
The total number of votes is:
- Rosalia: 124
- Jocelyn: 109
- Danny: 111
Total votes = 124 + 109 + 111 = 344
Now let's evaluate the ratios provided by Frank:
1. **124:344** - This ratio is correct because it shows the votes for Rosalia compared to the total votes (124 out of 344).
2. **344 to 111** - This ratio is presented incorrectly. The comparison here seems intended to be the total compared to Danny's votes, but it should be written as 111:344 (votes for Danny compared to total votes).
3. **StartFraction 109 Over 344 EndFraction** - This fraction is also correct since it represents the votes for Jocelyn compared to the total votes (109 out of 344).
Based on this analysis, the statement "The numbers in the ratio 344 to 111 are written in the wrong order" is the reason why that ratio is incorrect.
Thus, the correct answer is:
**The numbers in the ratio 344 to 111 are written in the wrong order.**
The total number of votes is:
- Rosalia: 124
- Jocelyn: 109
- Danny: 111
Total votes = 124 + 109 + 111 = 344
Now let's evaluate the ratios provided by Frank:
1. **124:344** - This ratio is correct because it shows the votes for Rosalia compared to the total votes (124 out of 344).
2. **344 to 111** - This ratio is presented incorrectly. The comparison here seems intended to be the total compared to Danny's votes, but it should be written as 111:344 (votes for Danny compared to total votes).
3. **StartFraction 109 Over 344 EndFraction** - This fraction is also correct since it represents the votes for Jocelyn compared to the total votes (109 out of 344).
Based on this analysis, the statement "The numbers in the ratio 344 to 111 are written in the wrong order" is the reason why that ratio is incorrect.
Thus, the correct answer is:
**The numbers in the ratio 344 to 111 are written in the wrong order.**