Question

The ratio of girls to boys in he 6th grade is 6 to 7. How many girls are there if there are 364 total students

Answer 1

If the ratio is 6:7 the students should divide nicely into 6+7=13 parts. Six of those parts are girls, seven of those parts are boys.

364 / 13 = 28

So 6 × 28 = 168 girls

Answer: 168

Check:

7 × 28 = 196 boys

168 + 196 = 364, good

Answer 2

168

Explanation:

The ratio of girls to boys = 6:7

Total number of students = 364

Therefore, number of girls is given by

`(6)/(6+7)*\text{Total number of students}`

Thus, we have

`(6)/(6+7)*364\\\\=(6)/(13)*364\\\\=6*28\\\\=168`

Hence, number of girls = 168