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The ratio of the number of teachers to students in a school is 3:35. The ratio of male students to the number of female students is 2:5. There are 500 female students. How many teachers are there?

User Zakos
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2 Answers

10 votes
there would be 60 teachers
User Rishabh Kumar
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8.6k points
2 votes

Answer: 60 teachers

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Step-by-step explanation:

There are 500 female students and the ratio of boys to girls is 2:5

Multiply both parts of that ratio by 100 so that the "5" turns into "500"

The ratio 2:5 turns into 200:500 showing that for every 200 male students there are 500 female students. There are 200+500 = 700 students total.

Because of this 700 figure, we'll need to multiply both parts of the ratio 3:35 by 20 so that the 35 becomes 700.

The ratio 3:35 turns into 60:700. For every 60 teachers, there are 700 students.

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Another way to solve:

The ratio of boys to girls is 2:5 which we can write as 2/5

x = number of boys

2/5 = x/500

2*500 = 5x

1000 = 5x

5x = 1000

x = 1000/5

x = 200

There are 200 boys and 500 girls, so 200+500 = 700 total.

y = number of teachers

3/35 = y/700

3*700 = 35y

2100 = 35y

35y = 2100

y = 2100/35

y = 60

There are 60 teachers

User EdgeCaseBerg
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