Question

9. In an audition for a singing talent show, 65% of the participants were selected. If 420 participants didn't get selected, what was the total number of participants? (a) 1,200 (b) 1,300 (c) 600 (d) 725
please tell with explanation...m​

Answer 1

Answer:

The total number participants was $1200$.

Step-by-step explanation:

Given : In an audition for a singing talent show,

      Percentage of the participants selected = $65$%

           Number of participants didn't selected = $420$

To find : Total number of participants = ?

Solution :

• It is given that, In an audition for a singing talent show,

      Percentage of the participants selected = $65$%

           Number of participants didn't selected = $420$

• We have to find the total number of participants.
• Let, $x$ be the total number of participants.
• From the given data, we can say that,

    Total participants = Percentage of the participants selected +     Number of participants didn't selected

                      ∴ $x=\frac{65}{100} *x+420$

                           $=\frac{65x}{100} +420$

• By cross multiplication, we get

                        ∴ $x= \frac{65x+42000}{100}$

                       ∴ $100x=65x+42000$

                ∴ $100x-65x=42000$

                          ∴ $35x=42000$

                            ∴ $x=\frac{42000}{35}$

                            ∴ $x=1200$

• ∴ The total number participants was $1200$.