Answer: Sam will need 9 loaves of elf bread for 12 days
Explanation:
Whenever you have proportions or ratios you set up two fractions equal to one another, using a letter to represent the number you don't know.
In this case 6 loaves/8 days = b loaves/12 days
Dropping out the words give us 6/8 = b/12
Now you cross multiply. In other words, you multiply the top of the first fraction by the bottom of the second, and the bottom of the first by the top of the second. 6x12 = 8xb
6x12 = 72
So 72=8b
Now you want to get the "b" by itself, so divide both sides of the equation by 8. 72/8 = 9
So Sam will need 9 loaves of elf bread for 12 days