Question

Girls : boys = 1:1

girls who sing : girls who do not sing = 1:2
8 girls sing in the show.
How many students are in the show altogether?

Answer 1

Using the given ratios, we calculate that there are 24 girls (8 who sing and 16 who do not) and an equal number of boys, which means there are 48 students in total in the show.

Step-by-step explanation:

The question relates to ratio and proportion, a mathematics concept often taught in middle school. Given the ratios, we can calculate the total number of students in the show as follows:

The ratio of girls who sing to girls who do not sing is 1:2. This means for every girl that sings, there are two girls that do not.

If 8 girls sing, there must be 8 * 2 = 16 girls who do not sing.

Adding the singers and non-singers, there are 8 + 16 = 24 girls.

Using the 1:1 ratio of girls to boys, there must also be 24 boys.

Adding the number of girls and boys, 24 + 24 gives us 48 students altogether in the show.

Answer 2

48 students

Step-by-step explanation:

Girls who sing : girls who don't sing = 1 : 2

Let total number of girl be x

Part of girls who sing = (1/3)x

Part of girls who sing = 8

`(1)/(3)x=8\\\\x =8*(3)/(1)\\`

x = 24

Number of girls = 24

Girls : boys = 1 : 1

Number of boys = number of girls

Total students in the show = 24 + 24 = 48