Math Problem Statement
Chantal is in charge of providing halftime snacks for her daughter’s soccer team. She has cut up pieces of apple and orange totalling 48 pieces of fruit. She brought twice as many pieces of orange as she did apple. How many pieces of orange did she bring for the soccer players?
Solution
Let's define the variables to solve this problem:
- Let represent the number of apple pieces.
- Since Chantal brought twice as many pieces of orange as apple, the number of orange pieces is .
- The total number of fruit pieces is 48.
Now, the equation representing the total pieces of fruit is:
Simplifying this:
Solving for :
So, Chantal brought 16 pieces of apple. Since she brought twice as many pieces of orange, the number of orange pieces is:
Thus, Chantal brought 32 pieces of orange for the soccer players.
Would you like more details on any step? Here are 5 related questions to explore further:
- How would the result change if Chantal brought three times as many orange pieces as apple?
- What if the total number of fruit pieces was 60 instead of 48?
- How would you set up the equation if Chantal brought equal numbers of apple and orange pieces?
- What if Chantal brought 5 fewer pieces of apple than orange? How would the equation change?
- How can you check your solution to ensure the total number of pieces remains correct?
Tip: When solving word problems, assigning variables to unknown quantities and writing an equation based on the given conditions helps organize the information and find the solution efficiently.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Word Problems
Formulas
x + 2x = 48
Theorems
-
Suitable Grade Level
Grades 6-8