Algebra Puzzle – Challenge 46
Algebra Puzzle - Challenge 46 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
This is a perfect mathematics puzzle for those who love to challenge their brains and test their logic skills.
Challenge:
If (frac{1}{6}) of a number is (2 frac{7}{15}) less than (6 frac{1}{3}) of that number, (1 frac{4}{5} ) of that number is how much less than 4?
A- (2frac{4}{15})
B- (frac{15}{6})
C- (frac{82}{25})
D- (frac{33}{15})
E- (frac{23}{6})
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The correct answer is C.
Let x be the number. Then:
(frac{1}{6 } x = 6 frac{1}{3 }x – 2 frac{7}{15} ⇒ 6 frac{1}{3 }x – frac{1}{6 } x = 2 frac{7}{15 } ⇒ frac{37}{6 }x = frac{37}{15 })
(X = frac{2}{5 })
Then:
(1 frac{4}{5 } x = frac{9}{5 } × frac{2}{5 } = frac{18}{25 })
(4, (frac{18}{25 }) = frac{37}{25 } =frac{82}{25 })The Absolute Best Books to Ace Algebra
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