MYTUTOR SUBJECT ANSWERS

231 views

In a sports competition with 760 atheletes, the following pieces of information are true: 70% of the atheletes are runners, 40% of the men are not runners and 400 women are runners. How many women were there in total?

Firstly, we must identify the two things that we need to work out our answer. They are: How many male runners there are, and how many male non-runners there are, as once we have these, the remaining value will be the number of female atheletes. (We know how many female runners there are (400), but alone, this does not help us.)

We know that 70% of the atheletes are runners, so, we can say that 532 of them are runners (because 70% of 760 is 532).

We can use this to work out that there are 132 male runners (because the number of runners - the number of female runners (532-400) = 132 male runners).

We know that 40% of the men are not runners, so, the number 132 only represents 60% of the male runners. Therefore, there are 220 male atheletes in total (132 divided by 6 = 22  so  22 multiplied by 10 = 220).

As we now have the total number of male atheletes, we can take this away from the total number of atheletes. Therefore, there are 540 female atheletes (760 - 220 = 540).

Ciaran C. 11 Plus Maths tutor, 11 Plus English tutor

6 months ago

Answered by Ciaran, a 11 Plus Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

212 SUBJECT SPECIALISTS

£18 /hr

Rebecca S.

Degree: Geography (BSc) (Bachelors) - Edinburgh University

Subjects offered:Maths, Geography+ 3 more

Maths
Geography
Further Mathematics
Extended Project Qualification
-Personal Statements-

“Hey! I am a final year Geography student from the University of Edinburgh and a highly rated Geography and Maths tutor, with an exciting approach to learning! ”

£18 /hr

Tabitha M.

Degree: Modern Languages (Bachelors) - Newcastle University

Subjects offered:Maths, Spanish

Maths
Spanish

“Hi!I am a first year student at the University of Newcastle studying Spanish and Japanese. I am patient, reliable and looking forward to hearing from you!”

MyTutor guarantee

£22 /hr

Pooja D.

Degree: Medicine (Bachelors) - Birmingham University

Subjects offered:Maths, Science+ 6 more

Maths
Science
Physics
Chemistry
Biology
.UKCAT.
-Personal Statements-
-Medical School Preparation-

“I have tutored for the past 4 years and have gathered many ways of teaching concepts to students in a way that is easily-digestible and understandable. ”

About the author

Ciaran C.

Currently unavailable: for regular students

Degree: History (Bachelors) - Exeter University

Subjects offered:Maths, Philosophy and Ethics+ 4 more

Maths
Philosophy and Ethics
History
Geography
English

“Background to Me: I am currently a History student at the University of Exeter and have a real passion for helping people to understand things which they find difficult. I have had experience in tutoring for the 11+, having worked as ...”

MyTutor guarantee

You may also like...

Posts by Ciaran

How do I work out the area of a right angled triangle?

In a sports competition with 760 atheletes, the following pieces of information are true: 70% of the atheletes are runners, 40% of the men are not runners and 400 women are runners. How many women were there in total?

Other 11 Plus Maths questions

What is the average temperature in September?

How do you work out 3/5 of 60?

Arrange the following decimals in order of size, from largest to smallest: 0.34, 1.06, 0.3, 0.09

Expand this bracket: 2(3a + 5)

View 11 Plus Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok