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Elton is a candle maker. Each
15cm long candle he makes burns evenly for 6 hours.
If Elton makes a
45cm long candle, how long would it burn?
hours

Elton is a candle maker. Each $15 \mathrm{~cm}$ long candle he makes burns evenly for $6$ hours. $\newline$ If Elton makes a $45 \mathrm{~cm}$ long candle, how long would it burn? $\newline$ hours

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Solve proportions: word problems

Full solution

Q. Elton is a candle maker. Each

15 \mathrm{~cm}

long candle he makes burns evenly for

6

hours.

\newline

If Elton makes a

45 \mathrm{~cm}

long candle, how long would it burn?

\newline

hours

Length Comparison: We know that a $15\,\text{cm}$ candle burns for $6$ hours. We need to find out how long a $45\,\text{cm}$ candle will burn. Since the $45\,\text{cm}$ candle is three times longer than the $15\,\text{cm}$ candle, we can assume that it will burn for three times as long if it burns evenly. $\newline$ Calculation: $6$ hours $\times 3 = 18$ hours
Calculation: We check for any math errors by verifying our multiplication. We multiplied the burn time of the shorter candle ( $6$ hours) by the factor by which the longer candle is greater in length ( $3$ times longer). This is a direct proportion. $\newline$ Calculation check: $6 \times 3 = 18$

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