High School

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!

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 pens
- 5 pens in each pack of red pens
- 6 pens in each pack of green pens

On Monday, the number of packs sold of black, red, and green pens is in the ratio 7:2:4. A total of 220 pens were sold.

Work out the number of green pens sold. Show your working out.

Answer :

Answer: There are 96 green pens sold.

Step-by-step explanation:

Since we have given that

Number of pens in each pack of black pens = 3

Number of pens in each pack of red pens = 5

Number of pens in each pack of green pens = 6

Ratio of number of packs sold of black, red and green pens = 7: 2: 4

Number of total pens sold = 220

So, ratio of pens in number of packs would be

[tex]7\times 3:2\times 5:4\times 6\\\\=21:10:24[/tex]

So, Number of green pens sold would be

[tex]\dfrac{24}{55}\times 220\\\\=24\times 4\\\\=96\ pens[/tex]

Hence, there are 96 green pens sold.

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!

Rewritten by : Brahmana

96 green pens were sold.

Since the number of packs sold of black, red and green pens are in the ratio 7 : 2 : 4

Also, a total 220 pens were sold. Let x represent the total number of packs, hence:

Number of black pens = 7x/13 * 3 = 21x/13

Number of red pens = 2x/13 * 5 = 10x/13

Number of green pens = 4x/13 * 6 = 24x/13

Hence:

21x/13 + 10x/13 + 24x/13 = 220

21x + 10x + 24x = 2860

55x = 2860

x = 52

Number of green pens = 24x/13 = 24(52)/13 = 96

Hence 96 green pens were sold.

Find out more at: https://brainly.com/question/25343092