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: