Question
6. If there are 15 white M\&M's and 25 red M\&M's in a small bag, how many white M\&M's can you expect there to be in a bag that has a total of 240 Red and White M\&M's?
Ask by Ball Ryan. in the United States
Jan 06,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
You can expect there to be 90 white M&M's in the larger bag.
Solution
To determine the expected number of white M&M's in a larger bag containing a total of 240 red and white M&M's, we'll use the ratio of white to red M&M's from the smaller bag.
**Step 1: Determine the Ratio of White to Total M&M's in the Small Bag**
- **White M&M's:** 15
- **Red M&M's:** 25
- **Total M&M's in Small Bag:** 15 + 25 = 40
The fraction of white M&M's in the small bag is:
\[
\frac{15 \text{ white}}{40 \text{ total}} = \frac{3}{8}
\]
**Step 2: Apply the Ratio to the Larger Bag**
- **Total M&M's in Large Bag:** 240
To find the expected number of white M&M's:
\[
\frac{3}{8} \times 240 = 90
\]
**Conclusion:**
You can expect there to be **90 white M&M's** in a bag that contains a total of 240 red and white M&M's.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To determine the expected number of white M&M's in a bag containing a total of 240 M&M's, we first calculate the proportion of white M&M's in the original bag. In the original bag, there are 15 white M&M's out of a total of 15 + 25 = 40 M&M's. This gives us a proportion of white M&M's as 15/40 or 0.375. Now, to find the expected number of white M&M's in a bag of 240, we multiply the total number of M&M's by the proportion of white M&M's: 240 * 0.375, which equals 90. Therefore, you can expect there to be approximately 90 white M&M's in the larger bag. It's a delicious math problem that gives you an idea of chocolatey proportions!
