Question

PLEASE ANSWER FAST!!!!

Sam used 6 loaves of elf bread on an 8 day hiking trip. he wants to know how many loaves of elf bread (b) he should pack for a 12 day hiking trip if he eats the same amount of bread each day.
Which proportion could Sam use to model this situation?

a) b/12 = 6/8

b) 6/b = 12/8

Solve the proportion to determine how many loaves of elf bread Sam should pack for a 12 day trip.
______loaves

*PLEASE ANSWER THE PROPORTION TO DETERMINE HOW MANY LOAVES OF ELF BREAD SAM SHOULD PACK FOR A 12 DAY TRIP!!

Answer 1

Sam ate 6 loaves of bread over 8 days. 6/8 is the ratio. Keeping the same ratio means we have to multiply top and bottom by the same number. So for example, doubling 8 means we have to double the 6 also (which is 12/16). But in our case 8 days changes to 12 days, which is the same as multiplying by 1.5

Answer 2

1). Option A is the equation which models the situation.

2). 9 loaves of the bread will be required.

Explanation:

Sam used 6 loaves of elf bread on an 8 days hiking trip.

So the ratio of loves of bread to number of day will be =
`(6)/(8)`

Now this ratio will be equal to the ratio of b loves of bread to the 12 number of days =
`(b)/(12)`

Therefore, The proportion that models this situation will be

`(b)/(12)=(6)/(8)`

Option A is the correct equation.

Now we have to solve this equation for 12 days trip.

`(b)/(12)=(6)/(8)`

b =
`(12*6)/(8)`

b =
`(72)/(8)=9`

b = 9 loaves of bread