In a geometry class, the girl to boy ratio is 10 to 2.if there are a total of 24 students, how many girls are there?

20 girls.

Step-by-step explanation:

The girl to boy ratio is 10 to 2.

Insert the multiplier m and write an equation for the total number of students:

10 m + 2 m = 24, or

12 m = 24.  Then m = 2.

The number of girls is 10(m) = 10 m = 10(2) = 20.

The number of boys is 2(m) = 4

Note that 20 (girls) + 4 (boys) = 24 (students), as specified.

Note that 20/4 = 10/2, which is the given ratio.

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the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this