Intelligent Math Puzzle – Challenge 91
Looking for great math puzzles to get students strategically thinking about math? If so, then this math challenge is just for you!
Challenge:
Mrs. Walters has 61 candles. She burns one candle every day and always makes one new one from the remaining wax of seven burnt candles. After how many days she needs to buy new candles?
A- 62
B- 68
C- 69
D- 70
E- 71
The Absolute Best Book to challenge your Smart Student!
The correct answer is E.
Mrs. Walters burns one candle every day and she can make a new one from the remaining wax of seven burnt candles. After 56 days, Mrs. Walters can make 8 new candles. (56 ÷ 7 = 8)
So, she has 13 candles now. After seven days, she burns 7 candles and makes another candle. So, she has 7 candles now. She can burn these 7 candles in 7 days and make a new candle after that for another day.
Therefore, she needs to buy new candles after 71 days:
56 + 7 + 7 + 1 = 71
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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