(right answer using ALGEBRA will get lots of points and brainliest!) There are 23 boys and 35 girls on the school’s track and field team. After q boys and (q+4) girls graduate at the end of this year, the probability of selecting a boy at random to represent the school for an event becomes 2/5. Find the value of q.

q=7

Step-by-step explanation:

So, right now, there are 23 boys and 35 girls.

After q boys and q+4 girls graduate, the probability of selecting a boy at random is 2/5. In other words, we can write the following equation:

(23-q)/(58-q-(q+4))=2/5

The numerator represents the number of boys after graduating.

The denominator represents the total numbers after boys and girls graduate. The 58 is the current total (23+35) and the -q and -(q+4) is the amount of students that will graduate. Now, find q:

(23-q)/(58-q-q-4)=2/5

(23-q)/(54-2q)=2/5

Cross multiply:

5(23-q)=2(54-2q)

115-5q=108-4q

-5q=-7-4q

-q=-7

q=7

We can check this: 23-7=16 and 35-11=24. 16/(24+16)=16/40=2/5

Step-by-step explanation:

Total students = 23 + 35 = 58

Now, it becomes,

When there is a (-) in front of an expression parentheses , change the sign at each term .

Collect like terms

Again,

Apply cross product property

Move variable to L.H.S and change its sign

Move constant to R.H.S and change its sign

Calculate the sum or difference

The difference sign (-) will be cancelled in both sides

Hope this helps...

Good luck on your assignment ..