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 :
Let us denote:
- [tex]$b$[/tex] as the number of packs of black pens sold (each pack contains 3 pens),
- [tex]$r$[/tex] as the number of packs of red pens sold (each pack contains 5 pens),
- [tex]$g$[/tex] as the number of packs of green pens sold (each pack contains 6 pens).
The total number of pens sold is given by
[tex]$$
3b + 5r + 6g = 220.
$$[/tex]
Our goal is to determine the number of green pens sold. Since each green pack contains 6 pens, the number of green pens sold would be
[tex]$$
6g.
$$[/tex]
However, the equation
[tex]$$
3b + 5r + 6g = 220
$$[/tex]
contains three unknowns, but only one equation. This means there are infinitely many possible combinations of [tex]$b$[/tex], [tex]$r$[/tex], and [tex]$g$[/tex] that satisfy the equation. Without additional information or constraints (for example, the number of packs of one of the other colours, or some relationship between [tex]$b$[/tex], [tex]$r$[/tex], and [tex]$g$[/tex]), it is impossible to determine a unique solution for [tex]$g$[/tex].
Therefore, there is insufficient information to determine a unique number of green pens sold.
- [tex]$b$[/tex] as the number of packs of black pens sold (each pack contains 3 pens),
- [tex]$r$[/tex] as the number of packs of red pens sold (each pack contains 5 pens),
- [tex]$g$[/tex] as the number of packs of green pens sold (each pack contains 6 pens).
The total number of pens sold is given by
[tex]$$
3b + 5r + 6g = 220.
$$[/tex]
Our goal is to determine the number of green pens sold. Since each green pack contains 6 pens, the number of green pens sold would be
[tex]$$
6g.
$$[/tex]
However, the equation
[tex]$$
3b + 5r + 6g = 220
$$[/tex]
contains three unknowns, but only one equation. This means there are infinitely many possible combinations of [tex]$b$[/tex], [tex]$r$[/tex], and [tex]$g$[/tex] that satisfy the equation. Without additional information or constraints (for example, the number of packs of one of the other colours, or some relationship between [tex]$b$[/tex], [tex]$r$[/tex], and [tex]$g$[/tex]), it is impossible to determine a unique solution for [tex]$g$[/tex].
Therefore, there is insufficient information to determine a unique number of green pens sold.
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Rewritten by : Brahmana