QuestionIn a biology course with a 5:4 boy-to-girl ratio and 396 students, how many are boys?

Studdy Solution

STEP 1

Assumptions1. The ratio of boys to girls in the course is54. The total number of students in the course is3963. There are no other types of students in the course other than boys and girls

STEP 2

First, we need to find the total parts in the ratio. We can do this by adding the number of boys and girls in the ratio.
$Total\, parts = Number\, of\, boys\, in\, ratio + Number\, of\, girls\, in\, ratio$

STEP 3

Now, plug in the given values for the number of boys and girls in the ratio to calculate the total parts.
$Total\, parts =5 +$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts = +4 =9$

STEP 5

Now that we have the total parts in the ratio, we can find the number of students per part. This is done by dividing the total number of students by the total parts in the ratio.
$Students\, per\, part = Total\, number\, of\, students / Total\, parts$

STEP 6

Plug in the values for the total number of students and the total parts to calculate the students per part.
$Students\, per\, part =396 /9$

STEP 7

Calculate the number of students per part.
$Students\, per\, part =396 /9 =44$

STEP 8

Now that we have the number of students per part, we can find the number of boys in the course. This is done by multiplying the number of boys in the ratio by the number of students per part.
$Number\, of\, boys = Number\, of\, boys\, in\, ratio \\times Students\, per\, part$

STEP 9

Plug in the values for the number of boys in the ratio and the students per part to calculate the number of boys.
$Number\, of\, boys =5 \\times44$

STEP 10

Calculate the number of boys in the course.
$Number\, of\, boys =5 \\times44 =220$ There are220 boys in the introductory biology course.

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