On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip. For a 12-day trip, how many loaves of elf bread should Sam bring?

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On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?