Ratio of boys who liked soccer to boys who liked basketball = 3:5
Given :-
Number of boys who enjoyed soccer :-
[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]
Total number of boys who were surveyed were equal to the total number of girls who were surveyed .
Which means :-
Let the total number of boys who were surveyed be x .
Total number of boys =
[tex] = \frac{3}{8} \times x = 90[/tex]
[tex] = x = 90 \div \frac{3}{8} [/tex]
[tex] = x = 90 \times \frac{8}{3} [/tex]
[tex] = x = \frac{720}{3} [/tex]
[tex]\color{hotpink}x =\color{hotpink} 240[/tex]
Which means a total of 240 boys were surveyed .
Number of boys who liked basketball :-
[tex] = \frac{5}{8} \times 240[/tex]
[tex] = \frac{1200}{8} [/tex]
[tex]\color{hotpink} = 150 \: \: boys[/tex]
Which means a total of 150 boys liked basketball .
Number of girls who liked soccer :-
[tex] = \frac{7}{8} \times 240[/tex]
[tex] = \frac{1680}{8} [/tex]
[tex]\color{hotpink} = 210 \: \: girls[/tex]
A total of 210 girls enjoyed soccer .
Number of girls who enjoyed basketball :-
[tex] = \frac{1}{8} \times 240[/tex]
[tex] = \frac{240}{8} [/tex]
[tex]\color{hotpink} = 30 \: \: girls[/tex]
A total of 30 girls like basketball .
Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .
