.Jane has 34 candles leftover from the last craft show and Brianna has 2 candles. They are making more candles for the next show. Jane makes 24 candles per hour and Brianna makes 32 candles per hour. They are also going to use the candles leftover from the last show and want to have the same number of candles at their stalls for this show. Let h represent the number of hours they need to work for this. They want to know what the equation is-
and what the value of H is-

Jane has 34 candles leftover, and she can make 24 candles per hour.

Then if she works h hours, she will have:

J(h) = 34 + h*24 candles.

Brianna has 2 candles leftover, and she makes 32 candles per hour, then if she works for h hours, she will have:

B(h) = 2 + h*32 candles.

If they work togheter, the number of candles that they can make if h hours us:

C(h) = J(h) + B(h) = 34 + h*24 + 2 + h*32

C(h) = 36 + 56*h

Now, we do not know how many candles do they need for the show, so we can not fully solve the problem. But we can do it in a general way.

Suppose that they need N candles for the show, where N is a positive whole number.

Then we can say: Ok, they need to work H hours in order to have N candles, then:

C(H) = N = 36 + 56*H

Now we can solve this for H.

N - 36 = 56*H

(N - 36)/56 = H

Now you can just replace the number N by the number of candles that they need for the show, and find the value of H, the hours that they need to work in order to make N candles.

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