Math Problem Statement
John and his children went into a movie theater and he bought $44.25 worth of drinks and pretzels. Each drink costs $5 and each pretzel costs $4.75. He bought twice as many drinks as pretzels. Determine the number of drinks and the number of pretzels that John bought.
Solution
To solve this problem, we need to set up a system of equations based on the given information.
Let's denote:
- as the number of pretzels John bought.
- as the number of drinks John bought.
We are given two key pieces of information:
- The total cost of drinks and pretzels is $44.25.
- John bought twice as many drinks as pretzels.
Step 1: Substitute into the first equation.
We substitute into the equation to get: Simplify the equation: Combine like terms:
Step 2: Solve for .
So, pretzels were bought.
Step 3: Find using .
Substitute into :
So, drinks were bought.
Final Answer:
- 3 pretzels were bought.
- 6 drinks were bought.
Would you like further details or have any questions about this solution?
Here are 5 related questions you might find useful:
- If each pretzel had cost $5 instead of $4.75, how much would the total cost have been?
- What if John bought three times as many drinks as pretzels—how many of each would he have bought?
- If John had $50, how many more drinks or pretzels could he have bought with the remaining money?
- What would the total cost have been if the price of drinks had increased to $6 each?
- How would the solution change if John had bought equal numbers of drinks and pretzels?
Tip: When working with word problems, always translate the given information into equations carefully, ensuring that each condition is represented correctly.
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Math Problem Analysis
Mathematical Concepts
Systems of Equations
Linear Equations
Word Problems
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8