There are 7 cupcakes for the party. Each cupcake has 1 candle for each year of the boy's birthday age. There is also an extra candle on each cupcake for good luck. If 49 candles were used on the cupcakes, how old is the birthday boy? Explain.
49 / 7 = 7
Since each cupcake had 7 candles, the boy must be 6 years old.
To determine the age of the birthday boy, we need to find out how many candles were used without including the extra candles for good luck. Let's break it down step by step:
First, let's subtract the extra candles from the total number of candles used. Since there is one extra candle per cupcake, we need to subtract the number of cupcakes from the total number of candles.
Number of cupcakes = 7
Total number of candles = 49
Total number of extra candles = Number of cupcakes = 7
So, the total number of candles without the extra candles is:
Total number of candles - Total number of extra candles = 49 - 7 = 42
Next, we need to divide the remaining number of candles by the number of candles each year represents. In this case, each candle represents one year of the boy's age.
Number of candles per year = 1
Total number of candles without extra candles = 42
So, the age of the birthday boy is:
Total number of candles without extra candles ÷ Number of candles per year = 42 ÷ 1 = 42
Therefore, the birthday boy is 42 years old.