Math Problem Statement
Paula, Bobby and Charlie shared a box of sweets. Bobby received twice as many sweets as Paula. Charlie received thrice as many sweets as Bobby. If Charlie received 165 more sweets than Paula, how many sweets did Charlie receive?
Solution
Let's define the variables to represent the number of sweets each person received:
- Let represent the number of sweets Paula received.
- Bobby received twice as many sweets as Paula, so Bobby received sweets.
- Charlie received thrice as many sweets as Bobby, so Charlie received sweets.
We are told that Charlie received 165 more sweets than Paula. This can be written as:
Now, let's solve this equation step by step:
-
Subtract from both sides:
-
Divide both sides by 5:
Now that we know Paula received 33 sweets, we can calculate how many sweets Charlie received:
Therefore, Charlie received 198 sweets.
Would you like further explanation or details on the problem? Here are some related questions:
- How many sweets did Bobby receive?
- How many sweets did Paula receive?
- What was the total number of sweets shared among Paula, Bobby, and Charlie?
- If Charlie had received 10 more sweets, how many would he have received in total?
- What is the ratio of sweets received by Paula, Bobby, and Charlie?
Tip: Always start by defining variables and building relationships based on the problem statement when solving word problems.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
6P = P + 165
5P = 165
P = 33
6P = 198
Theorems
Basic Algebraic Manipulation
Proportional Relationships
Suitable Grade Level
Grades 6-8
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