Algebra
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Q.

A man has 1044 candles. After burning, he can make a new candle from 9 stubs left behind. Find the maximum number of candles that can be made.

 A.

116

 B.

120

 C.

130

 D.

140

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Solution:
Option(C) is correct

1 candle is made from 9 stubs

Therefore, 116 candles will be made from 1044 stubs

From 116 candles, 12 candles can be made with 8 stubs left.

Now total stubs left $=(12+8)=20$ out of which two candles can be made with two stubs left.

Thus, Maximum number of candles that can be made 

$=(116+12+2)=130$


(2) Comment(s)


Dinesh Subudhi
 ()

9 stubs to make 1 candle

1044 stubs to make = 1044/9 =116 candles ------ (1)

116 stubs to make 12 candles with 8 stubs left

i.e 116 stubs = (108 + 8) stubs

= 108/9 + 8 = 12 candles + 8 stubs ------ (2)

After burning of 12 candles there will be 12 stubs

Total stubs = 12 + 8 = 20

Now 20 stubs = (18 + 2) stubs = 2 candles + 2 stubs ------ (3)

From (1), (2) & (3)

Total candles = 116 + 12 + 2 = 130



Shreyash Okhade
 ()

please explain this with easy method