There are 12 more girls than boys in a drama club. the ratio of girls to boys is 9: 5. how many girls and how many boys are in the drama club

Step-by-step explanation:

boys:= x

girls:= x + 12

x/(x + 12) = 5/9             The 9 goes with the girls. There are more of them.

9x = 5(x+12)                  The step was cross multiply.

9x = 5x + 60                 Subtract 5x from both sides

4x = 60                         Divide by 4

4x/4 = 60/4

x = 15

Boys = 15

girls = 15 + 12 = 27

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1