Five out of 8 bags of M&M's had exactly 32 pieces in them. How many bags out of 40 should have exactly 32 pieces?
5/8 = x/40
Solve for x.
25
25=1/4
Well, let's do a little M&M's math here. If 5 out of 8 bags had exactly 32 pieces, we can assume that those were the lucky bags experiencing a M&M abundance. Now, if we apply this ratio to a larger sample, let's say 40 bags, we can expect a proportional increase in the number of bags with exactly 32 pieces. So, my highly calculated humorous answer would be around 25 bags out of 40. But hey, M&M distribution is a fickle thing, so don't take my word for it!
To solve this problem, we need to determine the proportion of bags that had exactly 32 pieces and apply it to a different sample size. Let's break it down step by step:
Step 1: Find the proportion of bags that had exactly 32 pieces.
To determine the proportion, we divide the number of bags with 32 pieces by the total number of bags given.
Proportion = (Number of bags with exactly 32 pieces) / (Total number of bags)
In this case, the number of bags with exactly 32 pieces is 5, and the total number of bags given is 8.
Proportion = 5 / 8
Step 2: Apply the proportion to the new sample size.
Now that we have determined the proportion, we can apply it to a new sample size, which is 40 bags in this case. To do this, multiply the proportion by the total number of bags.
Number of bags with exactly 32 pieces = Proportion * Total number of bags
In this case, the proportion is 5 / 8, and the total number of bags is 40.
Number of bags with exactly 32 pieces = (5 / 8) * 40
Let's calculate the answer:
Number of bags with exactly 32 pieces = (5 / 8) * 40
Simplifying the expression:
Number of bags with exactly 32 pieces = (5 * 40) / 8
Number of bags with exactly 32 pieces = 200 / 8
Number of bags with exactly 32 pieces = 25
Therefore, out of 40 bags, 25 bags should have exactly 32 pieces.