Question
The ratio of boys to girls in the 7th grade at GACA is 2 to 4. If there were 850 students in the 7th grade, how many would you expect to be girls?
Determine the proportion to use to solve this problem.
(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
How many would you expect to be girls? Round to the nearest whole number.(1 point)
Responses
213 girls out of 850 students
213 girls out of 850 students
425 girls out of 850 students
425 girls out of 850 students
567 girls out of 850 students
567 girls out of 850 students
607 girls out of 850 students
Determine the proportion to use to solve this problem.
(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
How many would you expect to be girls? Round to the nearest whole number.(1 point)
Responses
213 girls out of 850 students
213 girls out of 850 students
425 girls out of 850 students
425 girls out of 850 students
567 girls out of 850 students
567 girls out of 850 students
607 girls out of 850 students
Answers
GPT-4o mini
To find out how many girls there are in the 7th grade at GACA based on the given ratio of boys to girls, we start by analyzing the ratio of boys to girls, which is 2:4. This can be simplified to 1:2, meaning that for every 1 boy, there are 2 girls.
**Step 1: Determine the total parts in the ratio.**
- For boys (1 part) + girls (2 parts) = 1 + 2 = 3 parts total.
**Step 2: Find the size of each part.**
- Total students = 850
- Each part = 850 students / 3 parts = 283.33 (approximately).
**Step 3: Calculate the number of girls.**
- Since girls make up 2 parts, we calculate:
- Girls = 2 parts * 283.33 ≈ 566.67
Rounding to the nearest whole number, we expect to have approximately 567 girls.
**To answer the questions:**
1. **Proportion used to solve the problem:**
- The proportion is based on the ratio of girls to the total parts, which can be represented as (2 parts of girls / 3 parts total).
2. **How many would you expect to be girls?**
- The answer is **567 girls out of 850 students.**
**Step 1: Determine the total parts in the ratio.**
- For boys (1 part) + girls (2 parts) = 1 + 2 = 3 parts total.
**Step 2: Find the size of each part.**
- Total students = 850
- Each part = 850 students / 3 parts = 283.33 (approximately).
**Step 3: Calculate the number of girls.**
- Since girls make up 2 parts, we calculate:
- Girls = 2 parts * 283.33 ≈ 566.67
Rounding to the nearest whole number, we expect to have approximately 567 girls.
**To answer the questions:**
1. **Proportion used to solve the problem:**
- The proportion is based on the ratio of girls to the total parts, which can be represented as (2 parts of girls / 3 parts total).
2. **How many would you expect to be girls?**
- The answer is **567 girls out of 850 students.**