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.
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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:
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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:
- 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:
- What if the number of packs per crate changes? How would that affect the number of boxes needed?
- How do you calculate the total number of boxes if the number of packs per box changes to 5 instead of 3?
- How would the calculation change if you only had 15 crates instead of 16?
- Can you solve this problem using a different method, such as using modular arithmetic?
- 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