Question

Jane has 34 candles leftover from the last craft show and Brianna

Answer 1

Answer:

4 hours

Step-by-step explanation:

Given that the number of leftover candles for Jane = 34

and  the number of leftover candles for Brianna = 2

Rate of candle making for Jane = 24 candles/ hour

Rate of candle making for Jane = 32 candles/ hour

As they work for h hours to make candles.

So, in h hours, the number of new candles made by Jane = 24h candles

For Jane, the total number of candles after h houres, including the leftover candles $= 24h+34 \cdots(i)$

Similarly, in h hours, the number of new candles made by Brianna = 32h candles

For Brianna, the total number of candles after h houres, including the leftover candles $= 32h+2 \cdots(ii).$

As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have

$24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32$

$\Rightarrow h=32/8=4$ hours.

Hence, both need to work for 4 hours to have the same number of candles.