The cost (in dollars) of making N birthday cakes is represented by C = 24n + 35. How many birthday cakes are made when the cost is $395? Show your work and include units in your Answer.

The cost is $395. You are trying to find n in 24n + 35.

Set C = 395.

You get 395 = 24n + 35.

Solve for n by first subtracting 35 from both sides of the equation:

395 - 35 = 360.

24n + 35 - 35 = 24n.

Now you have 360 = 24n. Divide both sides by 24 to get:

15 = n.

So, 15 birthday cakes are made when the cost is $395.