MYTUTOR SUBJECT ANSWERS

151 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

4 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

191 SUBJECT SPECIALISTS

£18 /hr

Callum O.

Degree: Computer Science (Masters) - Warwick University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
Chemistry

“With a strong passion for Mathematics and the Sciences, I never turn down oppurtunities to share these passions with keen individuals. Having had extensive tuition experience working in one-to-one tuition centres, I have been able to d...”

MyTutor guarantee

£18 /hr

Billy W.

Degree: Philosophy, Politics & Economics (Bachelors) - Exeter University

Subjects offered: Maths, Religious Studies+ 3 more

Maths
Religious Studies
Philosophy and Ethics
-Personal Statements-

“I am a Philosophy, Politics and Economics first year student at the University of Exeter from Brentwood in Essex. Before university I studied at Westcliff High School for Boys which is an Academy Grammar School in Southend-on-Sea, Ess...”

MyTutor guarantee

£20 /hr

Tori M.

Degree: French and Spanish (Bachelors) - Exeter University

Subjects offered: Maths, Spanish+ 2 more

Maths
Spanish
French
Extended Project Qualification

“Who am I? I am a first year university student studying French and Spanish, with lots of enthusiasm and an open-minded approach to teaching students of all ages and abilities. Teaching Style I believe that every student is different...”

About the author

£18 /hr

Ciaran C.

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

How many 1/3's are there in 9?

How do I multiply decimal numbers?

Which places do these point to? Write the answer in English

If 2x + y = 13 and 3x + 2y = 21, work out the values of x and y.

View 11 Plus Maths tutors

Cookies:

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

mtw:mercury1:status:ok