QuestionWhat percent of math/science majors are seniors given 330 seniors out of 260+310+200+330?

Studdy Solution

STEP 1

Assumptions1. The number of Math/Science Majors who are seniors is330. . The total number of Math/Science Majors is the sum of the number of Math/Science Majors in each class (Freshmen, Sophomores, Juniors, and Seniors).

STEP 2

First, we need to find the total number of Math/Science Majors. We can do this by adding the number of Math/Science Majors in each class.
$Total\, Math/Science\, Majors = Freshmen + Sophomores + Juniors + Seniors$

STEP 3

Now, plug in the given values for the number of Math/Science Majors in each class to calculate the total number of Math/Science Majors.
$Total\, Math/Science\, Majors =260 +310 +200 +330$

STEP 4

Calculate the total number of Math/Science Majors.
$Total\, Math/Science\, Majors =260 +310 +200 +330 =1100$

STEP 5

Now that we have the total number of Math/Science Majors, we can find the percent of Math/Science Majors who are seniors. We can do this by dividing the number of Math/Science Majors who are seniors by the total number of Math/Science Majors and then multiplying by100 to convert to a percentage.
$Percent\, of\, Math/Science\, Majors\, who\, are\, seniors = \frac{Number\, of\, Math/Science\, Majors\, who\, are\, seniors}{Total\, Math/Science\, Majors} \times100$

STEP 6

Plug in the values for the number of Math/Science Majors who are seniors and the total number of Math/Science Majors to calculate the percent of Math/Science Majors who are seniors.
$Percent\, of\, Math/Science\, Majors\, who\, are\, seniors = \frac{330}{1100} \times100$

STEP 7

Calculate the percent of Math/Science Majors who are seniors.
$Percent\, of\, Math/Science\, Majors\, who\, are\, seniors = \frac{330}{1100} \times100 =30\%$ 30% of the Math/Science Majors are seniors.

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