The ratio of boys to girls in the assembly was 5 to 4. If 180 students were in the assembly, how many girls were there?

5x+4x = 180

There are 4x girls

To find the number of girls in the assembly, we first need to determine the total number of parts the ratio is divided into.

The ratio of boys to girls is given as 5 to 4. This means that for every 5 parts representing boys, there are 4 parts representing girls. Therefore, the total number of parts is 5 + 4 = 9.

Next, we need to find the value of each part. To do this, we divide the total number of students in the assembly by the total number of parts: 180 / 9 = 20.

Now that we know each part represents 20 students, we can calculate the number of girls by multiplying the number of parts representing girls (4) by the value of each part (20): 4 * 20 = 80.

Therefore, there were 80 girls in the assembly.