Source: Veritas Prep
This year, \(x\) people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimming and one-fourth of those who earned a medal for swimming also earned a medal for diving. How many people won an Olympic medal for water competitions but did not both receive a medal for swimming and a medal for diving?
A. \(\frac{11x}{12}\)
B. \(\frac{7x}{12}\)
C. \(\frac{5x}{12}\)
D. \(\frac{6x}{7}\)
E. \(\frac{x}{7}\)
The OA is A
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This year, \(x\) people won an Olympic medal for water
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BTGmoderatorLU
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Scott@TargetTestPrep
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We see that ⅓(¼x) = (1/12)x = x/12 people won a medal in both swimming and diving.BTGmoderatorLU wrote:Source: Veritas Prep
This year, \(x\) people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimming and one-fourth of those who earned a medal for swimming also earned a medal for diving. How many people won an Olympic medal for water competitions but did not both receive a medal for swimming and a medal for diving?
A. \(\frac{11x}{12}\)
B. \(\frac{7x}{12}\)
C. \(\frac{5x}{12}\)
D. \(\frac{6x}{7}\)
E. \(\frac{x}{7}\)
The OA is A
Thus x - x/12 = 12x/12 - x/12 = 11x/12 people did not win a medal in both swimming and diving.
Answer: A
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