Asixth grade class has 12 boys and 24 girls consider this statement for every 2 boys there are 4 girls do you agree with this statement explain mathematically

Yes, the statement is mathematically correct.

It is given that:

A sixth grade class has 12 boys and 24 girls.

This means that the proportion of girls to boys is:

Ratio of number of girls to the number of boys.

i.e.

Also,

For every 2 boys there are 4 girls.

This means that:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

5x+2x=49

7x=49

x=7. 35 apples