Answer:
12. a = 2
13. 
Step-by-step explanation:
12.
6a(a + 3) = 2a(3a + 5) + 16
First, distribute 6a on the left side, and distribute 2a on the right side.
6a² + 18a = 6a² + 10a + 16
Subtract 6a² from both sides.
18a = 10a + 16
Subtract 10a from both sides.
8a = 16
Divide both sides by 8.
a = 2
13.

The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.



Combine like terms on the left side. Distribute the 2 on the right side.

Subtract 2x from both sides.

Divide both sides by 3.

x/4 = 3/2
x/2 = 3 (multiply both sides by 2)
x = 6 (multiply both sides by 2)
Therefore 6/4 = 3/2
I believe its 15 girls.
If its 5 girls to every 4 boys and there is 12 boys then 12 is just 4 three times so you would do 5 three times making it 15.
4boys = 5girls
+4boys= 5girls
+4boys = 5girls
=12boys = 15girls