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In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

Sagot :

Answer:

10 students

Step-by-step explanation:

Given :-

50% younger than 10

1/20 (or 5%) are 10

1/10 (or 10%) are older than 10 but younger than 12

Remaining students = 100% - 50% - 10% - 5%

= 35%

= 70 students

Total students

=> 7T/20 = 70

=> 7T = 1400

=> T = 200

10 year old students

= T x 5%

= 200 x 1/20

= 10 students

Given :

[tex]50\%[/tex]younger than [tex]10[/tex]

[tex]\frac{1}{20} [/tex](or 5%) are 10

[tex]\frac{1}{10}[/tex] (or 10%) are older than 10 but younger than 12

☆Remaining students = [tex]100\% -50\% - 10\% - 5\%[/tex]

» [tex]35\%[/tex]

» [tex]{{\bold{{{{{ \pink{70 \: students}}}}}}}}[/tex]

☆Total students

↣ [tex]\frac{7 \: total}{20} = 70[/tex]

↣ [tex]7 \: total = 1400[/tex]

↣ [tex]{{\bold{{{{{ \pink{total = 200}}}}}}}}[/tex]

☆10 year old students

↣ [tex]total \times 5\%[/tex]

↣ [tex]200 \times \frac{1}{20}[/tex]

↣ [tex]{{\bold{{{{{ \pink{10 \: students}}}}}}}}[/tex]