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

425 girls out of 850 students

567 girls out of 850 students

607 girls out of 850 students

1 answer

To solve the problem, we first need to understand the ratio of boys to girls, which is given as 2 to 4. This ratio can be simplified to 1 to 2, meaning for every 1 boy, there are 2 girls.

Next, we calculate the total parts in this ratio:

  • 1 part (boys) + 2 parts (girls) = 3 parts total.

Now, we want to determine how many of the 850 students are girls. Since 2 parts out of 3 represent the girls, we can set up the following proportion:

\[ \text{Proportion of Girls} = \frac{2 \text{ parts}}{3 \text{ parts total}} = \frac{2}{3} \]

Now we can calculate the number of girls:

\[ \text{Number of girls} = \left(\frac{2}{3}\right) \times 850 = \frac{1700}{3} \approx 566.67 \]

Rounding to the nearest whole number, we expect there to be approximately 567 girls.

So for your questions:

  1. The correct proportion to use is \( \frac{2}{3} \).
  2. You would expect there to be 567 girls out of 850 students.

The correct response from your options is 567 girls out of 850 students.