The ratio of boy to girls in your class is 2:1 . Apply qualitative reasoning to predict the number of girls in the class if there are 24 boys in class.(1 point)

Question

Responses

There are 48 girls in the class because there are twice as many girls as boys.
There are 48 girls in the class because there are twice as many girls as boys.

There are 22 girls in the class because, 24−2=22.
There are 22 girls in the class because, 24 minus 2 equals 22 .

There are 26 girls in the class because, 24+2=26.
There are 26 girls in the class because, 24 plus 2 equals 26 .

There are 12 girls in the class because there are twice as many boys as girls.

Answer 1

To determine the number of girls in the class based on the given ratio of boys to girls (2:1) and the information that there are 24 boys, we can use the ratio to reason out the numbers.

The ratio 2:1 means that for every 2 boys, there is 1 girl.

If there are 24 boys, we can express this as:

• Let the number of girls be G.
• According to the ratio, if there are 24 boys, the girls would be half of that amount.

Using the ratio:

• 2 boys : 1 girl means that for every 2 boys, there is 1 girl.
• Therefore, if there are 24 boys, we can set up the equation: \( 24 \text{ boys} = 2x \) (where x is the number of girl groups),
• This means: \( x = 12 \).

Since there is 1 girl for every group of boys, the total number of girls would be:

• \( 12 \times 1 = 12 \).

So, the prediction is that there are 12 girls in the class because there are twice as many boys as girls.

The correct response is: There are 12 girls in the class because there are twice as many boys as girls.