Question

There are 364 students who are enrolled in an introductory biology course. If there are five boys to every eight girls, how many boys are in the course?

Answer 1

To determine the number of boys in the course, we set up a proportion based on the given ratio of boys to girls and apply it to the total number of students. The final answer is 227 boys in the course.

Step-by-step explanation:

To determine the number of boys in the course, we need to find the ratio of boys to girls and then apply it to the total number of students. The ratio given is 5 boys to every 8 girls. We can set up a proportion to solve for the number of boys.

5 boys / 8 girls = x boys / 364 students

Cross-multiplying gives us 5 * 364 = 8 * x, which simplifies to 1820 = 8x. Dividing both sides by 8, we find that x = 227.5. Since we can't have half of a student, we round down to the nearest whole number, so there are 227 boys in the course.

Answer 2

The number of boys in the course will be = 140

Step-by-step explanation:

Given:

Total number of students enrolled in an introductory biology course = 364

There are 5 boys to every 8 girls in the course.

To find how many boys are in the course.

Solution:

Since, there are 5 boys to every 8 girls in the course.

So, ratio of boys to girls enrolled in the course = 5 : 8

Let the number of boys in the course be =
`5x`

Then number of girls in the course will be =
`8x`

Total number of students would be given as:

⇒ Number of boys + Number of girls

⇒
`5x+8x`

⇒
`13x`

Total number of students given = 364.

Thus, we have:

`13x=364`

solving for
`x`

Dividing both sides by 13.

`(13x)/(13)=(364)/(13)`

∴
`x=28`

So, number of boys in the course will be =
`5* 28` = 140