The ratio of boys to girls in the 7th grade at GACA is 2 to 4. If there were 850 kids in the 7th grade, how many would you expect to be girls? Round to the nearest whole number.(1 point)

Responses

213 girls out of 850 kids
213 girls out of 850 kids

425 girls out of 850 kids
425 girls out of 850 kids

567 girls out of 850 kids
567 girls out of 850 kids

607 girls out of 850 kids
could u work this out for me so that i can understand how you got the answer. thanks

The ratio of boys to girls in the 7th grade is 2 to 4, which can be simplified to 1 to 2. This means that for every 3 students, 1 is a boy and 2 are girls.

To find the number of girls in the 7th grade, we can set up a proportion:

(Number of girls) / (Number of boys + Number of girls) = 2 / 3

Let's represent the number of students in the 7th grade as x. We can set up the proportion as:

(Number of girls) / x = 2 / 3

To solve for the number of girls, we cross multiply:

Number of girls = (2 / 3) * x

We know that there are 850 kids in the 7th grade, so we substitute x with 850:

Number of girls = (2 / 3) * 850

Number of girls = 1700 / 3 ≈ 566.67

Rounding to the nearest whole number, we can expect approximately 567 girls in the 7th grade.

Therefore, the correct answer is 567 girls out of 850 kids.