Math Problem Statement
Apples cost $0.60 each and pears cost $0.80 each. If a total of 130 apples and pears cost $88, how many pears were there? don't use algebra
Solution
To solve this problem without using algebra, we can use a logical approach by trial and error. Let's break it down step by step:
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Assume all 130 fruits were apples:
- The cost would be dollars.
- But the total cost is $88, so the difference is dollars.
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Now, replace some apples with pears:
- Each pear costs $0.20 more than an apple.
- To make up the $10 difference, divide the difference by $0.20:
- So, you would need to replace 50 apples with 50 pears.
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Conclusion:
- There were 50 pears and apples.
So, there were 50 pears.
Would you like more details on this or have any questions? Here are 5 related questions you might find interesting:
- What if the cost per apple was $0.50 and per pear was $1.00?
- How would the solution change if the total number of fruits was 150 instead of 130?
- What if the total cost was $100 instead of $88?
- How would you solve it if pears cost $1.20 and apples $0.80?
- How can we solve similar problems using a table or diagram?
Tip: In problems like these, finding the difference in cost per item helps to determine the number of one type that needs to be substituted for another.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Problem Solving
Formulas
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Theorems
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Suitable Grade Level
Grades 5-6
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