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At a family summer party, each of the \(x\) members of the family chose whether or not to have a hamburger and whether or not to have a hotdog. If \(\dfrac13\) chose to have a hamburger, and of those \(\dfrac17\) chose to also have a hotdog, then how many family members chose NOT to have both?
A. \(\dfrac{x}{21}\)
B. \(\dfrac{x}{10}\)
C. \(\dfrac{9x}{10}\)
D. \(\dfrac{10x}{21}\)
E. \(\dfrac{20x}{21}\)
Answer: E
Source: EMPOWERgmat
A. \(\dfrac{x}{21}\)
B. \(\dfrac{x}{10}\)
C. \(\dfrac{9x}{10}\)
D. \(\dfrac{10x}{21}\)
E. \(\dfrac{20x}{21}\)
Answer: E
Source: EMPOWERgmat

















