Math Problem Statement
S bought 4 pens and 3 books. Each pen costs half of one book. The total cost of the items is $8. What is the cost for one pen?
Solution
Let the cost of one book be denoted as , and since each pen costs half of a book, the cost of one pen is .
Given that S bought 4 pens and 3 books, we can set up the total cost equation:
Simplifying the first term:
Now combine like terms:
Solve for :
Now that we know the cost of one book is dollars, the cost of one pen is:
Thus, the cost of one pen is $0.80.
Would you like further details or have any questions?
Here are some related questions to extend your understanding:
- What would be the total cost if S bought 5 pens and 4 books?
- If each pen cost $0.80, how many pens can S buy with $12?
- What is the total cost if S bought 6 pens and 2 books?
- If the cost of each pen increased by 20%, what would the new cost be?
- How would the total cost change if S received a 10% discount on the books?
Tip: When solving word problems, assigning variables to unknown quantities and translating conditions into equations helps simplify the process.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Total cost equation: 4 * (cost of pen) + 3 * (cost of book) = 8
Pen cost: (cost of book) / 2
Theorems
Basic algebraic manipulation and solving linear equations
Suitable Grade Level
Grades 6-8
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