In a party, 60% of the invited guests are male and 40% are female. If 80% of…

2018

In a party, 60% of the invited guests are male and 40% are female. If 80% of the invited guests attended the party and if all the invited female guests attended, what would be the ratio of males to females among the attendees in the party?

  1. A.

    2:3

  2. B.

    1:1

  3. C.

    3:2

  4. D.

    2:1

Attempted by 129 students.

Show answer & explanation

Correct answer: B

Answer: 1:1

  • Step 1: Choose an easy total number of invited guests, for example 100.

  • Step 2: Calculate invited by gender: 60% of 100 = 60 males; 40% of 100 = 40 females.

  • Step 3: All invited females attended, so female attendees = 40. Total attendees = 80% of 100 = 80, so male attendees = 80 - 40 = 40.

  • Step 4: Ratio of males to females among attendees = 40:40 = 1:1.

Therefore the correct ratio is 1:1.

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