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Students in a school are asked to pick either football, rugby or tennis to play in their lesson.
The number of students who picked football and rugby are in the ratio of 5:4
The number of students who picked rugby and tennis are in the ratio of 8:17
68 students picked tennis.
Work out how many students picked football.

Respuesta :

jpbaker9now

Answer:

54 people choose football

To solve this you must make a formula like so:

ratio of rugby over tennis = unknown over students that picked tennis

***Unknown will be x

use a proportion like so...

 

Now you must cross multiply

6 * 78 = 13*x

468 = 13x

To isolate x divide 13 to both sides

468/13 = 13x/13

x= 36

This means that 36 people choose rugby when there were 78 people choose tennis

To find how many people choose football you must make another proportion similar to the first proportion:

ratio of football over rugby = unknown over students that picked rugby

use a proportion like so...

Now you must cross multiply

3* 36 = 2*x

108 = 2x

To isolate x divide 2 to both sides

108/2 = 2x/2

x= 54

This means that 54 people choose football

Hope this helped!

Step-by-step explanation:

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