Math Problem Statement

Mel purchased 3 cartons of detergent for the store's laundry room. Each carton contains 4 boxes of detergent. Each box weighs 60 ounces. How many pounds total did Mel purchase of detergent?

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:

  1. Calculate the total number of boxes: Total boxes=3cartons×4boxes per carton=12boxes.\text{Total boxes} = 3 \, \text{cartons} \times 4 \, \text{boxes per carton} = 12 \, \text{boxes}.

  2. Calculate the total weight in ounces: Total weight (oz)=12boxes×60oz per box=720oz.\text{Total weight (oz)} = 12 \, \text{boxes} \times 60 \, \text{oz per box} = 720 \, \text{oz}.

  3. Convert ounces to pounds: Since there are 16 ounces in a pound: Total weight (lb)=720oz16=45lb.\text{Total weight (lb)} = \frac{720 \, \text{oz}}{16} = 45 \, \text{lb}.


Final Answer:

Mel purchased 45 pounds of detergent.

Let me know if you'd like further clarification!


Follow-up questions:

  1. How do you convert ounces to pounds in general?
  2. If each box weighed 80 ounces instead, what would be the total weight in pounds?
  3. What if Mel purchased 5 cartons instead of 3? How would the total weight change?
  4. How would the answer differ if a box weighed 1.5 pounds directly?
  5. 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