1.

Out of the 50 people who applied for service crews in Marco Juan's Restaurant, 2/5 were turned down without being interviewed.If 1/3 of the remaining applicants were hired, how many applicants were employed?​

Answer»

Step-by-step explanation:

GIVEN:-

  • TOTAL people applied for service=50
  • 2/5 were TURNED down without being interviewed .
  • 1/3 of remaining are hired.

To find:-

How MANY applicants were EMPLOYED

Solution:-

number of total applicants=50

Turned down applicants without being interviewed=2/5

  • First we need to find how many are turned down without being interviewed.

{:}\longrightarrow{\dfrac {2}{5}}\:of\:50

{:}\longrightarrow{\dfrac {2}{{\cancel {5}}}}×{\cancel{50 }}

{:}\longrightarrow2×10

{:}\longrightarrow20

  • Now we need to find remaining applicants

{:}\longrightarrow50-20

\therefore{\boxed{30applicants}}

  • Now according to question 1/3 of the remaining applicants are hired

{:}\longrightarrow{\dfrac {1}{3 }}\:of\:30

{:}\longrightarrow{1×10}

{:}\longrightarrow{\underline{\boxed{\bf {10}}}}

\therefore10 applicants are employed



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