Welcome to the article A shop sells packs of black pens packs of red pens and packs of green pens There are 3 pens in each pack of black. 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, we can follow these steps:
1. Identify Pens in Each Pack:
- Each pack of black pens contains 3 pens.
- Each pack of red pens contains 5 pens.
- Each pack of green pens contains 6 pens.
2. Set Up the Ratio:
- The ratio of the number of packs sold for black: red: green pens is 7:2:4.
3. Understand the Total Pens Sold:
- The total number of pens sold is 220.
4. Calculate Total Ratio Units:
- The total number of ratio parts is [tex]\(7 + 2 + 4 = 13\)[/tex].
5. Use the Ratio to Find Pack Quantities:
- Let's find the total number of packs sold for black, red, and green by using a common multiplier for the ratio.
6. Form an Equation Based on Pens Sold:
- Since the total pens are divided based on these ratios, the equation becomes:
[tex]\[
(7 \times 3x) + (2 \times 5x) + (4 \times 6x) = 220
\][/tex]
- Simplify and solve for [tex]\(x\)[/tex]:
[tex]\[
21x + 10x + 24x = 220 \\
55x = 220 \\
x = \frac{220}{55} = 4
\][/tex]
7. Calculate the Number of Green Packs Sold:
- Using the value of [tex]\(x\)[/tex], find the number of green packs sold:
[tex]\[
4x = 4 \times 4 = 16
\][/tex]
8. Calculate Number of Green Pens Sold:
- Multiply the number of green packs sold by the number of pens per pack:
[tex]\[
16 \times 6 = 96
\][/tex]
Therefore, the number of green pens sold is 96.
1. Identify Pens in Each Pack:
- Each pack of black pens contains 3 pens.
- Each pack of red pens contains 5 pens.
- Each pack of green pens contains 6 pens.
2. Set Up the Ratio:
- The ratio of the number of packs sold for black: red: green pens is 7:2:4.
3. Understand the Total Pens Sold:
- The total number of pens sold is 220.
4. Calculate Total Ratio Units:
- The total number of ratio parts is [tex]\(7 + 2 + 4 = 13\)[/tex].
5. Use the Ratio to Find Pack Quantities:
- Let's find the total number of packs sold for black, red, and green by using a common multiplier for the ratio.
6. Form an Equation Based on Pens Sold:
- Since the total pens are divided based on these ratios, the equation becomes:
[tex]\[
(7 \times 3x) + (2 \times 5x) + (4 \times 6x) = 220
\][/tex]
- Simplify and solve for [tex]\(x\)[/tex]:
[tex]\[
21x + 10x + 24x = 220 \\
55x = 220 \\
x = \frac{220}{55} = 4
\][/tex]
7. Calculate the Number of Green Packs Sold:
- Using the value of [tex]\(x\)[/tex], find the number of green packs sold:
[tex]\[
4x = 4 \times 4 = 16
\][/tex]
8. Calculate Number of Green Pens Sold:
- Multiply the number of green packs sold by the number of pens per pack:
[tex]\[
16 \times 6 = 96
\][/tex]
Therefore, the number of green pens sold is 96.
Thank you for reading the article A shop sells packs of black pens packs of red pens and packs of green pens There are 3 pens in each pack of black. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Brahmana