for every 6 girls on the softball team there are 9 boys on the baseball team if there are 50 students on both teams how many are girls

Key info-there are nine boys for every six girls on the softball team

9/6

9 (3) = 27. 6 (3) 18

18+27=45 5 more to go

if there is 50 students on each of the teams

9 (5) = 45

6 (8) = 48

As one can see, they both cannot multiply up to 50, but they round up.

Let g = number of girls and b = number of boys, then:-

g + b = 50 ... (1)

and

for every girl there is 1.5 boys so:-

b = 1.5g ... (2)

Substitute for b in equation (1) : -

1.5g + g = 50

2.5g = 50

g = 20

Answer is there are 20 girls