Question. Stephanie is decorating 24 cupcakes for a birthday party, but she needs more candles. She currently has a total of 30 candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes?
Answer. 6
What step-by-step reasoning justifies that answer?
Reasoning: For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24 / 2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24 / 2) * 1 = 12 candles for this half of the cupcakes. For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24 / 2) * 2 = 24 candles for this half of the cupcakes. Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12 + 24 = 36 candles. Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36 - 30 = 6 additional candles.