Welcome to the article A shop sells packs of black pens red pens and green pens There are 3 pens in each pack of black pens There are 5. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
To find the number of green pens sold, let's take a step-by-step approach:
1. Understand the Ratio: The problem gives a ratio of packs sold for black, red, and green pens as 7:2:4. This means for every 7 packs of black pens, there are 2 packs of red pens and 4 packs of green pens sold.
2. Pens per Pack: Each pack contains a different number of pens:
- Black pack: 3 pens
- Red pack: 5 pens
- Green pack: 6 pens
3. Total Pens Sold: The total number of pens sold on Monday is 220.
4. Calculate Total Pens in Ratio: We will multiply the number of packs in the ratio by the number of pens per pack to find the effective number of pens for each part of the ratio:
- Black pens ratio contribution: [tex]\(7 \times 3 = 21\)[/tex]
- Red pens ratio contribution: [tex]\(2 \times 5 = 10\)[/tex]
- Green pens ratio contribution: [tex]\(4 \times 6 = 24\)[/tex]
So, the total effective "pens" from the ratios is [tex]\(21 + 10 + 24 = 55\)[/tex].
5. Determine Scale of Ratio: Since 220 pens were sold in total, we find how many times the ratio sum (55) fits into 220:
- Scale Factor = [tex]\( \frac{220}{55} = 4 \)[/tex]
6. Calculate Packs Sold:
- Black packs sold: [tex]\(7 \times 4 = 28\)[/tex]
- Red packs sold: [tex]\(2 \times 4 = 8\)[/tex]
- Green packs sold: [tex]\(4 \times 4 = 16\)[/tex]
7. Calculate Number of Green Pens Sold:
- Since each green pack contains 6 pens, the total number of green pens sold is:
[tex]\[ 16 \times 6 = 96 \][/tex]
Therefore, the number of green pens sold is 96.
1. Understand the Ratio: The problem gives a ratio of packs sold for black, red, and green pens as 7:2:4. This means for every 7 packs of black pens, there are 2 packs of red pens and 4 packs of green pens sold.
2. Pens per Pack: Each pack contains a different number of pens:
- Black pack: 3 pens
- Red pack: 5 pens
- Green pack: 6 pens
3. Total Pens Sold: The total number of pens sold on Monday is 220.
4. Calculate Total Pens in Ratio: We will multiply the number of packs in the ratio by the number of pens per pack to find the effective number of pens for each part of the ratio:
- Black pens ratio contribution: [tex]\(7 \times 3 = 21\)[/tex]
- Red pens ratio contribution: [tex]\(2 \times 5 = 10\)[/tex]
- Green pens ratio contribution: [tex]\(4 \times 6 = 24\)[/tex]
So, the total effective "pens" from the ratios is [tex]\(21 + 10 + 24 = 55\)[/tex].
5. Determine Scale of Ratio: Since 220 pens were sold in total, we find how many times the ratio sum (55) fits into 220:
- Scale Factor = [tex]\( \frac{220}{55} = 4 \)[/tex]
6. Calculate Packs Sold:
- Black packs sold: [tex]\(7 \times 4 = 28\)[/tex]
- Red packs sold: [tex]\(2 \times 4 = 8\)[/tex]
- Green packs sold: [tex]\(4 \times 4 = 16\)[/tex]
7. Calculate Number of Green Pens Sold:
- Since each green pack contains 6 pens, the total number of green pens sold is:
[tex]\[ 16 \times 6 = 96 \][/tex]
Therefore, the number of green pens sold is 96.
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Rewritten by : Brahmana