There are 22 more girls than boys at the school play. The ratio is 5:7. How many students were there altogher?

To represent girls, you would use x+22 and boys: x

So the equation is

x/x+22 = 5/7

Use cross multiplication (solving proportions)

You get

7x=5x+110

2x=110

x=55

55 boys

x+22

55+22=77 girls

55+77 = 132 students in total

So we know that 5:7 in boys:girls format

boys+22=girls

boys=5

girls=7

boys + 2units=girls

2units=22

1unit=11

7units+5units=12units

12 times 11 = 132