Math Problem Statement

I need to fill 16 crates with chicken, each individual box contains 4 packs of chicken each. how many boxes do I need in multiples of three?

Solution

To solve this, we first need to calculate how many individual packs of chicken are in the 16 crates.

  1. Find the total number of packs in the 16 crates:

    • Each crate contains 4 packs of chicken.
    • So, for 16 crates, the total number of packs is: Total packs=16×4=64 packs\text{Total packs} = 16 \times 4 = 64 \text{ packs}
  2. Determine how many boxes are needed if each box contains 3 packs:

    • Since each box contains 3 packs of chicken, we divide the total number of packs (64) by 3: Number of boxes=64321.33\text{Number of boxes} = \frac{64}{3} \approx 21.33
    • Since we can't have a fraction of a box, you will need 22 boxes to fit all 64 packs, because rounding up is required to make sure all packs are contained.

Thus, 22 boxes are needed in multiples of 3 to accommodate all 64 packs.

Would you like further clarification or details on this calculation?

Here are some related questions you could explore:

  1. What if the number of packs per crate changes? How would that affect the number of boxes needed?
  2. How do you calculate the total number of boxes if the number of packs per box changes to 5 instead of 3?
  3. How would the calculation change if you only had 15 crates instead of 16?
  4. Can you solve this problem using a different method, such as using modular arithmetic?
  5. How do you determine the minimum number of boxes when given a set of packs that don't divide evenly?

Tip: When you're rounding up for an exact number of boxes, always remember to round up to the nearest whole number, as fractions of boxes aren't practical.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Division
Rounding

Formulas

Total packs = crates × packs per crate
Number of boxes = Total packs ÷ packs per box
Rounding up to the nearest whole number for practicality

Theorems

Basic arithmetic properties

Suitable Grade Level

Grades 5-7