Respuesta :
Answer:
The possible pairs of arrangement of cookies are (12,07) (14,06) (21,04) and (42,2).
Step-by-step explanation:
Given:
Daniel makes 84 cookies and we have to find how many cookies are there in each row and how many rows are there.
Basically we have to find the possible factors of 84.
⇒ Factors:
⇒ [tex]84=2\times 2\times 3\times 7[/tex]
The possible pairs are.
⇒ [tex]12\times 07=84[/tex] or [tex]07\times 12=84[/tex]
⇒ [tex]14\times 06=84[/tex] or [tex]06\times 14=84[/tex]
⇒ [tex]21\times 04=84[/tex] or [tex]04\times 21=84[/tex]
⇒ [tex]42\times 02=84[/tex] or [tex]02\times 42=84[/tex]
So,
there can be 12 cookies in 07 rows or 07 cookies in 12 rows.
there can be 14 cookies in 06 rows or 06 cookies in 14 rows.
there can be 21 cookies in 04 rows or 04 cookies in 21 rows.
there can be 42 cookies in 02 rows or 02 cookies in 42 rows.
The possible pairs are (12,07) (14,06) (21,04) and (42,2) in which Daniel can arrange the cookies.
