Math Problem Statement
Solution
The problem reads:
Mel purchased 3 cartons of detergent for the store's laundry room. Each carton contains 4 boxes of detergent, and each box weighs 60 ounces. The question is: How many pounds total did Mel purchase of detergent?
Solution:
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Calculate the total number of boxes:
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Calculate the total weight in ounces:
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Convert ounces to pounds: Since there are 16 ounces in a pound:
Final Answer:
Mel purchased 45 pounds of detergent.
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Follow-up questions:
- How do you convert ounces to pounds in general?
- If each box weighed 80 ounces instead, what would be the total weight in pounds?
- What if Mel purchased 5 cartons instead of 3? How would the total weight change?
- How would the answer differ if a box weighed 1.5 pounds directly?
- Can you explain how to generalize this calculation for any number of cartons, boxes, or weight?
Tip:
Always keep track of units during calculations to avoid errors, especially when converting between systems like ounces and pounds!
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Multiplication
Division
Formulas
Total boxes = Number of cartons × Boxes per carton
Total weight (oz) = Total boxes × Weight per box
Total weight (lb) = Total weight (oz) ÷ 16
Theorems
Basic unit conversion: 1 pound = 16 ounces
Suitable Grade Level
Grades 5-7
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