QuestionIn a biology course with a 4:3 boy-to-girl ratio and 371 students, how many boys are there?

Studdy Solution

STEP 1

Assumptions1. The ratio of boys to girls in the biology course is43. The total number of students in the course is3713. All students in the course are either boys or 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.
$Total\, parts = Number\, of\, boys\, in\, the\, ratio + Number\, of\, girls\, in\, the\, ratio$

STEP 3

Now, plug in the given values for the number of boys and girls in the ratio to calculate the total parts.
$Total\, parts = +3$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts =4 +3 =7$

STEP 5

Now that we have the total parts in the ratio, we can find the number of students per part. This can be 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.
$Students\, per\, part =371 /$

STEP 7

Calculate the number of students per part.
$Students\, per\, part =371 /7 =53$

STEP 8

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

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.
$Number\, of\, boys =4 \\times53$

STEP 10

Calculate the number of boys in the course.
$Number\, of\, boys =4 \\times53 =212$ There are212 boys in the introductory biology course.

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