QuestionA soccer club has a junior to freshman ratio of $3:2$ and 45 total students. How many juniors are there?

Studdy Solution

STEP 1

Assumptions1. The ratio of juniors to freshmen in the soccer club is3. The total number of juniors and freshmen in the club is45

STEP 2

The ratio of juniors to freshmen is2. This means for every juniors, there are2 freshmen. We can add these parts together to get the total parts in the ratio.
$Total\, parts = Juniors\, part + Freshmen\, part$

STEP 3

Plug in the values for the juniors part and the freshmen part to calculate the total parts.
$Total\, parts =3 +2$

STEP 4

Calculate the total parts in the ratio.
$Total\, parts =3 +2 =$

STEP 5

Now that we have the total parts, we can find out how many students each part represents by dividing the total number of students by the total parts.
$Students\, per\, part = Total\, students / Total\, parts$

STEP 6

Plug in the values for the total students and the total parts to calculate the students per part.
$Students\, per\, part =45 /5$

STEP 7

Calculate the number of students each part represents.
$Students\, per\, part =45 /5 =9$

STEP 8

Now that we know each part represents students, we can find out how many juniors there are by multiplying the juniors part of the ratio by the students per part.
$Juniors = Juniors\, part \\times Students\, per\, part$

STEP 9

Plug in the values for the juniors part and the students per part to calculate the number of juniors.
$Juniors =3 \\times9$

STEP 10

Calculate the number of juniors.
$Juniors =3 \\times9 =27$ There are27 juniors in the soccer club.

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