Question

you want to go on a backpacking trip. in your backpack, you will have to carry all your food and equipment. let f = number of pounds of food you will pack, and let e = number of pounds of equipment (including the backpack) you will pack. the total weight you will have to carry is as follows. f + e (a) suppose that you take 12 lb of food and 28 lb of equipment. what is the total weight you will have to carry? (include units in your answer. more information.) (b) suppose that you take 16.6 lb of food and 17.9 lb of equipment. what is the total weight you will have to carry? (include units in your answer. more information.) (c) suppose that you can pack a total of only 24 lb. fill in the following table to determine various combinations of food and equipment you could take on the trip. (do not include units in your answers.) f e f + e 10 24 15 24 13 24 12 24

Explanation:

Step1: Substitute values for (a)

Given $f = 12$ and $e=28$, then $f + e=12 + 28$.

Step2: Calculate sum for (a)

$12+28 = 40$ lb.

Step3: Substitute values for (b)

Given $f = 16.6$ and $e = 17.9$, then $f + e=16.6+17.9$.

Step4: Calculate sum for (b)

$16.6 + 17.9=34.5$ lb.

Step5: Solve for $e$ in (c) first row

Given $f = 10$ and $f + e=24$, then $e=24 - f=24 - 10$. So $e = 14$.

Step6: Solve for $f$ in (c) second row

Given $e = 15$ and $f + e=24$, then $f=24 - e=24 - 15$. So $f = 9$.

Step7: Solve for $e$ in (c) third row

Given $f = 13$ and $f + e=24$, then $e=24 - f=24 - 13$. So $e = 11$.

Step8: Solve for $f$ in (c) fourth row

Given $e = 12$ and $f + e=24$, then $f=24 - e=24 - 12$. So $f = 12$.

Answer:

(a) 40 lb
(b) 34.5 lb
(c)

$f$	$e$	$f + e$
9	15	24
13	11	24
12	12	24