a candle was 45 cm long .It was lit and 20% burned off .The candle went out.The next day it was lit again ,and 25% of the remaining candle burned out .then it went out On the third day the candle was lit 1/3 of the remaining amount burned off .then it went out .how long was the candle after the third day
0.8 * 45 = 36
0.75 * 36 = 27
27 * (2/3) = 18
To find out how long the candle was after the third day, we need to calculate the remaining length after each day of burning.
Let's break it down step by step:
1. Initial length of the candle: 45 cm
2. After the first day:
- 20% of the candle burned off, so there is 80% remaining
- 80% of 45 cm = 0.80 x 45 = 36 cm
3. After the second day:
- The candle is lit again, and 25% of the remaining candle burns off
- 25% of 36 cm = 0.25 x 36 = 9 cm
- Remaining length after the second day = 36 cm - 9 cm = 27 cm
4. After the third day:
- The candle is lit once more, and 1/3 of the remaining amount burns off
- 1/3 of 27 cm = (1/3) x 27 = 9 cm
- Remaining length after the third day = 27 cm - 9 cm = 18 cm
Therefore, after the third day, the length of the candle would be 18 cm.