# Easy Algebra Solved QuestionAptitude Discussion

 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

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

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

Edit: For a detailed explanation, check comment by Dinesh Subudhi.

Edit 2: For yet another explanation, check comment by Ramya,

## (3) 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

Ramya
()

See, we can make 1 candles from 9 stubs.

So, given no.of candles are 1044.

Divide it by 9 =116(he can make).

Now, when he burnt these 116 candles he will get 116 stubs,116/9=12 and remainder is 8 (stubs left), and divide 12 by 9.

You will get 1(candle made) as quotient and 3(stubs left) as remainder. Add this 3 with 8=11(stubs left).

From this, 11, you can make one candle

Now, total no.of candles,

$=116+12+1+1$

$=130$