Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
To determine how many medium mirrors were broken, let's follow the steps one by one:
1. Given Information:
- Total number of mirrors: [tex]\(480\)[/tex]
- Total number of broken mirrors is derived from summing broken mirrors in small and large categories.
- Total number of not broken mirrors: [tex]\(402\)[/tex]
- Small mirrors: [tex]\(102\)[/tex] in total
- Broken small mirrors: [tex]\(4\)[/tex]
- Not broken small mirrors: [tex]\(102 - 4 = 98\)[/tex]
- Large mirrors: [tex]\(214\)[/tex] in total
- Broken large mirrors: [tex]\(6\)[/tex]
2. Calculate the remaining not broken mirrors:
- Given that the total not broken mirrors [tex]\(= 402\)[/tex]
- Already known:
- Not broken small mirrors: [tex]\(98\)[/tex]
- Not broken large mirrors (we derived that they remain not mentioned for simplicity): [tex]\(214 - 6 = 208\)[/tex]
3. Calculate the not broken medium mirrors:
- Not broken medium mirrors must cover the gap left after counted small and large not broken mirrors:
[tex]\[ \text{Total not broken mirrors} = \text{Not broken small mirrors} + \text{Not broken medium mirrors} + \text{Not broken large mirrors} \][/tex]
[tex]\[ 402 = 98 + \text{Not broken medium mirrors} + 208 \][/tex]
[tex]\[ \text{Not broken medium mirrors} = 402 - 98 - 208 \][/tex]
[tex]\[ \text{Not broken medium mirrors} = 96 \][/tex]
4. Calculate the total number of broken mirrors:
- Total mirrors: [tex]\(480\)[/tex]
- Total not broken mirrors: [tex]\(402\)[/tex]
- Therefore, total broken mirrors:
[tex]\[ \text{Total broken mirrors} = 480 - 402 = 78 \][/tex]
5. Determine the number of broken medium mirrors:
- Total determined broken mirrors found (78)
- Already known:
- Broken small mirrors: [tex]\(4\)[/tex]
- Broken large mirrors: [tex]\(6\)[/tex]
- Total already known broken mirrors:
[tex]\[ \text {Known broken mirrors} (small + large) = 4 + 6 = 10 \][/tex]
- Therefore broken mirrors that must be in the medium category:
[tex]\( \text{Broken medium mirrors} = 78 - 10 = 68 \)[/tex]
So, the number of broken medium mirrors is [tex]\( 68 \)[/tex].
1. Given Information:
- Total number of mirrors: [tex]\(480\)[/tex]
- Total number of broken mirrors is derived from summing broken mirrors in small and large categories.
- Total number of not broken mirrors: [tex]\(402\)[/tex]
- Small mirrors: [tex]\(102\)[/tex] in total
- Broken small mirrors: [tex]\(4\)[/tex]
- Not broken small mirrors: [tex]\(102 - 4 = 98\)[/tex]
- Large mirrors: [tex]\(214\)[/tex] in total
- Broken large mirrors: [tex]\(6\)[/tex]
2. Calculate the remaining not broken mirrors:
- Given that the total not broken mirrors [tex]\(= 402\)[/tex]
- Already known:
- Not broken small mirrors: [tex]\(98\)[/tex]
- Not broken large mirrors (we derived that they remain not mentioned for simplicity): [tex]\(214 - 6 = 208\)[/tex]
3. Calculate the not broken medium mirrors:
- Not broken medium mirrors must cover the gap left after counted small and large not broken mirrors:
[tex]\[ \text{Total not broken mirrors} = \text{Not broken small mirrors} + \text{Not broken medium mirrors} + \text{Not broken large mirrors} \][/tex]
[tex]\[ 402 = 98 + \text{Not broken medium mirrors} + 208 \][/tex]
[tex]\[ \text{Not broken medium mirrors} = 402 - 98 - 208 \][/tex]
[tex]\[ \text{Not broken medium mirrors} = 96 \][/tex]
4. Calculate the total number of broken mirrors:
- Total mirrors: [tex]\(480\)[/tex]
- Total not broken mirrors: [tex]\(402\)[/tex]
- Therefore, total broken mirrors:
[tex]\[ \text{Total broken mirrors} = 480 - 402 = 78 \][/tex]
5. Determine the number of broken medium mirrors:
- Total determined broken mirrors found (78)
- Already known:
- Broken small mirrors: [tex]\(4\)[/tex]
- Broken large mirrors: [tex]\(6\)[/tex]
- Total already known broken mirrors:
[tex]\[ \text {Known broken mirrors} (small + large) = 4 + 6 = 10 \][/tex]
- Therefore broken mirrors that must be in the medium category:
[tex]\( \text{Broken medium mirrors} = 78 - 10 = 68 \)[/tex]
So, the number of broken medium mirrors is [tex]\( 68 \)[/tex].
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
