QuestionIn a biology class, the ratio of boys to girls is 5:6. If there are 385 students, how many are boys?

Studdy Solution

STEP 1

Assumptions1. The ratio of boys to girls in the class is56. The total number of students in the class is3853. There are no other types of students in the class 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.
$Total\, parts = Boys\, in\, ratio + Girls\, in\, ratio$

STEP 3

Now, plug in the given values for the number of boys and girls in the ratio to calculate the total parts.
$Total\, parts =5 +6$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts = +6 =11$

STEP 5

Now that we have the total parts in the ratio, we can find the value of each part. This can be done by dividing the total number of students by the total parts in the ratio.
$Value\, of\, each\, part = Total\, number\, of\, students / Total\, parts$

STEP 6

Plug in the values for the total number of students and the total parts to calculate the value of each part.
$Value\, of\, each\, part =385 /11$

STEP 7

Calculate the value of each part.
$Value\, of\, each\, part =385 /11 =35$

STEP 8

Now that we have the value of each part, we can find the number of boys in the class. This can be done by multiplying the value of each part by the number of boys in the ratio.
$Number\, of\, boys = Value\, of\, each\, part \\times Boys\, in\, ratio$

STEP 9

Plug in the values for the value of each part and the number of boys in the ratio to calculate the number of boys.
$Number\, of\, boys =35 \\times5$

STEP 10

Calculate the number of boys in the class.
$Number\, of\, boys =35 \\times5 =175$ There are175 boys in the introductory biology course.

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