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25 Feb 2025, 01:30
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A
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Difficulty:
25%
(medium)
Question Stats:
78% (01:46) correct
22%
(02:12)
wrong
based on 81
sessions
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Of the teams competing in the world archery championships, twenty percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
A. 13/20
B. 15/20
C. 13/15
D. 17/20
E. 13/17
A. 13/20
B. 15/20
C. 13/15
D. 17/20
E. 13/17
25 Feb 2025, 01:35
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E = 20%
U = 20% * 1/2 = 10%
A = 1/20 *100 = 5%
Rest(Teams are from neither Europe, the US or Africa) = 100 - 20-10-5 = 65%
Rest fraction = 65/100 = 13/20
U = 20% * 1/2 = 10%
A = 1/20 *100 = 5%
Rest(Teams are from neither Europe, the US or Africa) = 100 - 20-10-5 = 65%
Rest fraction = 65/100 = 13/20
Bunuel
25 Feb 2025, 08:48
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Let the total number of teams be T.
Step 1: Define the given fractions
- Teams from Europe = 20% of T = (20/100)T = (1/5)T
- Teams from the US = Half of the European teams = (1/2) × (1/5)T = (1/10)T
- Teams from Africa = 1/20 of T = (1/20)T
Step 2: Find total teams from Europe, US, and Africa
Total = (1/5)T + (1/10)T + (1/20)T
Find a common denominator (LCM of 5, 10, and 20 is 20):
= (4/20)T + (2/20)T + (1/20)T
= (7/20)T
Step 3: Find teams from neither Europe, US, nor Africa
Teams from neither = T - (7/20)T = (13/20)T
Final Answer: (A) 13/20
Step 1: Define the given fractions
- Teams from Europe = 20% of T = (20/100)T = (1/5)T
- Teams from the US = Half of the European teams = (1/2) × (1/5)T = (1/10)T
- Teams from Africa = 1/20 of T = (1/20)T
Step 2: Find total teams from Europe, US, and Africa
Total = (1/5)T + (1/10)T + (1/20)T
Find a common denominator (LCM of 5, 10, and 20 is 20):
= (4/20)T + (2/20)T + (1/20)T
= (7/20)T
Step 3: Find teams from neither Europe, US, nor Africa
Teams from neither = T - (7/20)T = (13/20)T
Final Answer: (A) 13/20
