Question

Elio Makes candles that are 14 cm tall. Each candle burns eight hours before going out. He is wondering how many hours a 21 cm tall candle can burn for.

Answer 1

A 21 cm tall candle should burn for 12 hours, as it is 1.5 times taller than a 14 cm candle which burns for 8 hours.

Step-by-step explanation:

The problem is one of direct proportion where the height of the candles is directly proportional to the burning time. If a 14 cm tall candle burns for 8 hours, then a 21 cm tall candle, which is 1.5 times taller, should burn for 1.5 times longer. Hence, to calculate the burning time for the 21 cm candle, we multiply 8 hours by 1.5.

Calculation:

21 cm / 14 cm = 1.5

8 hours × 1.5 = 12 hours

Therefore, a 21 cm tall candle should burn for 12 hours.

Answer 2

It will take 15 hours.