Algebra Puzzle – Challenge 46

Algebra Puzzle – Challenge 46

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- \(2\frac{4}{15}\)

B- \(\frac{15}{6}\)

C- \(\frac{82}{25}\)

D- \(\frac{33}{15}\)

E- \(\frac{23}{6}\)

The Absolute Best Book to challenge your Smart Student!

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:
\(1 \frac{4}{5 } x = \frac{9}{5 } × \frac{2}{5 } = \frac{18}{25 }\)
\(4 – (\frac{18}{25 }) = \frac{37}{25 } =\frac{82}{25 }\)

Related to "Algebra Puzzle – Challenge 46"

Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 100
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 99
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 98
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 97
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 96
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 95
Other Topics Puzzle – Challenge 94
Other Topics Puzzle – Challenge 94
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 93
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 92
Intelligent Math Puzzle – Challenge 91
Intelligent Math Puzzle – Challenge 91

Leave a Reply

Your email address will not be published. Required fields are marked *