Step-by-step explanation:
Required Answer:-
Total number of people =3000
Let
the number of fans=17x
The number of staff=3x
- First we need to find Both numbers of fans and staff
ATQ
[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]
- Number of fans=17x=17×150=2650
- Number of staff=3x=3×150=450
____________________________
500 more fans arrived
- Latest number of fans= 2650+500=3150
- Latest number of staff=450
Now the new ratio=
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]
[tex]\therefore[/tex]New ratio of fans to staff is 7:1.
