Q:

IF YOU GUYS COULD ACTUALLY HELP ME FOR ONCE THAT WOULD BE GREATStudents 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 3:2The number of students who picked rugby and tennis are in the ratio of 6:1378 students picked tennis.Work out how many students picked football.

Accepted Solution

A:
To solve this you must make a formula like so:ratio of rugby over tennis = unknown over students that picked tennis***Unknown will be xuse a proportion like so... [tex]\frac{rugby}{tennis} = \frac{x}{tennis}[/tex][tex]\frac{6}{13} = \frac{x}{78}[/tex]  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 tennisTo 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 rugbyuse a proportion like so...[tex]\frac{3}{2} = \frac{x}{36}[/tex]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! ~Just a girl in love with Shawn Mendes