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.
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.
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