How many peanut m&ms fit in a 16 oz jar?
The Correct Answer and Explanation is :
To determine how many Peanut M&Ms fit in a 16 oz jar, we can break down the calculation by considering the size and weight of each M&M, as well as the volume of the jar.
Step 1: Average size and weight of a Peanut M&M
A Peanut M&M is made up of a peanut covered with chocolate and a colorful candy shell. The average weight of one Peanut M&M is approximately 0.12 ounces (3.4 grams).
Step 2: Total number of M&Ms in 16 ounces
Given that each Peanut M&M weighs about 0.12 ounces, we can divide the total weight of the jar (16 ounces) by the weight of one Peanut M&M to estimate how many M&Ms fit in the jar:
[
\text{Number of M&Ms} = \frac{\text{Total weight of jar}}{\text{Weight of one M&M}} = \frac{16 \text{ oz}}{0.12 \text{ oz}} \approx 133.33
]
Thus, approximately 133 Peanut M&Ms fit into a 16 oz jar.
Step 3: Volume of the jar and M&M packing efficiency
Although the weight calculation gives us an estimate, we need to consider the volume as well. The volume of a 16 oz jar is about 473 milliliters. Peanut M&Ms have irregular shapes and do not pack perfectly, which means some air gaps between them will reduce the actual volume they occupy. The packing efficiency for small, irregular objects like M&Ms is typically around 60-70%.
Step 4: Adjusting for packing inefficiency
If we take the packing efficiency into account (assuming 65% efficiency), the actual volume occupied by the M&Ms in the jar will be less than the full volume. This can slightly alter the number, but the weight-based estimate of around 133 remains quite accurate for the total number of M&Ms that will fit, considering both volume and packing factors.
Conclusion
In a 16 oz jar, approximately 133 Peanut M&Ms will fit, with slight variations depending on packing efficiency and the specific size of each candy.