At a school number of boys: number of girls = 11: 9 there are 124 more boys than girls work out the total number of students

There are a total of 1240 students.

Step-by-step explanation:

Represent # of boys by b and # of girls by g.

Then b/g = 11:9, and b = g + 124.

Solve this system of equations using substitution:

b        11

=

 g        9

becomes  g + 124        11

                =

                       g             9

Cross multiplying yields 9g + 124(9) = 11 g, or 9g + 1116 = 11g

Combining the g terms yields:

1116 = 2g

Then g =558.

There are 558 girls.  There are 124 more boys than girls:  558+124 = 682  boys.

Altogether there are 558 + 682, or 1240 students.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc