Question :-
In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?
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Solution :-
Given Information :-
- Individuals who rode both roller coaster and Ferris Wheel ➢ 46
- Individuals who rode Ferris wheel but not the roller coaster ➢28
- Individuals who rode roller coaster but not the Ferris wheel ➢24
- Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14
- Total Number of Individuals who rode roller coaster ➢ 70
- Total Number of Individuals who rode the Ferris Wheel ➢74
- Total Number of Individuals who did not ride roller coaster ➢ 42
- Total Number of Individuals who did not ride the Ferris wheel ➢38
- Total Number of Individuals who went to amusement park ➢ 112
To Find :-
- Percentage of Individuals who rode Ferris wheel but not the roller coaster.
Formula Used :-
Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\sf (individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster )/(total \: number \: of \: individuals \: who \: went \: to \: amusement \: park)](https://img.qammunity.org/2022/formulas/mathematics/high-school/cqgkbhot3j82fux7src544es81xigwjf8g.png)
Calculation :-
Substituting the values given in the formula, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\sf (individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster )/(total \: number \: of \: individuals \: who \: went \: to \: amusement \: park)](https://img.qammunity.org/2022/formulas/mathematics/high-school/cqgkbhot3j82fux7src544es81xigwjf8g.png)
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\sf (28 )/(112)](https://img.qammunity.org/2022/formulas/mathematics/high-school/acsz8phfdtp9pfg6lao1qacwsuvapebxzd.png)
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\sf (1 )/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mstircbbcx7f052ufc7hdxnclizf3py6kx.png)
Now, to convert any fraction into percentage, We multiply it by 100, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\sf (1 )/(4) * 100](https://img.qammunity.org/2022/formulas/mathematics/high-school/rmk8gklabeq7ggian45fiq3hgznqrjbq1p.png)
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =
![\bf 25\%](https://img.qammunity.org/2022/formulas/mathematics/high-school/kjigzkr8bfmaze7hmh6v1em8kf3hxfbbng.png)
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Final Answer :-
- Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%
- Therefore, option A. 25% is the correct answer.
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Note :-
- Please scroll from right to left to see the whole solution.