Question
Luke and Percy each have some candy the candies come in individual pieces and in bags Luke has 2 bags of candies and 15 individual pieces of candy Percy has 4 bags and 5 individual pieces of candy they know that they have the same number of candies how many candies are in each bag show all of your work
Answers
GPT 3.5
Let's assume that there are x candies in each bag.
Luke has 2 bags of candies, so he has a total of 2x candies.
Luke also has 15 individual pieces of candy.
Percy has 4 bags of candies, so he has a total of 4x candies.
Percy also has 5 individual pieces of candy.
Since both Luke and Percy have the same number of candies, we can set up an equation:
2x + 15 = 4x + 5
To solve this equation, we can combine like terms:
15 = 2x + 5
Subtract 5 from both sides of the equation:
10 = 2x
Divide both sides by 2:
5 = x
Therefore, there are 5 candies in each bag.
Luke has 2 bags of candies, so he has a total of 2x candies.
Luke also has 15 individual pieces of candy.
Percy has 4 bags of candies, so he has a total of 4x candies.
Percy also has 5 individual pieces of candy.
Since both Luke and Percy have the same number of candies, we can set up an equation:
2x + 15 = 4x + 5
To solve this equation, we can combine like terms:
15 = 2x + 5
Subtract 5 from both sides of the equation:
10 = 2x
Divide both sides by 2:
5 = x
Therefore, there are 5 candies in each bag.