Problem Solving

A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

(A) 16
(B) 17
(C) 19
(D) 20
(E) 22

OA A

jainrahul1985 wrote:A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

(A) 16
(B) 17
(C) 19
(D) 20
(E) 22

OA A

oh heres an easy way. the total charge was $38.

$6 would be charged anyways because the weight is over 2 pounds.

so 38-6 and you are left with $32. this is the price charged for the over weight. The charge for overweight is $2/pound.

so just divide 32/2=16. and the answer is A.

hey Rahul...I am confuSed here...


Shldn't the answer be 17...


(1st pound costed 6$=6$) and (rest 16 pounds costed each 2$=32)

1 + 16 = 17

6 $ + 32 $ = 38$

Gurpinder wrote:

jainrahul1985 wrote:A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?

(A) 16
(B) 17
(C) 19
(D) 20
(E) 22

OA A

oh heres an easy way. the total charge was $38.

$6 would be charged anyways because the weight is over 2 pounds.

so 38-6 and you are left with $32. this is the price charged for the over weight. The charge for overweight is $2/pound.

so just divide 32/2=16. and the answer is A.

hi........please give me little bit clarity.........i am totally confused......

Package weighing less than 2 pound=6$

Package weighing 2 pound or more=6$+(2$ per pound) or 6+2n[n is number of pounds]

Total charge=38.

All answer options are more than 2 pounds.

This can be expressed as below equation,

6+2n=38[n is total pounds of the package]

-->2n=32

n=16

Pick A

Hope this clarify!!!!!

muralithe1 wrote:hey Rahul...I am confuSed here...


Shldn't the answer be 17...


(1st pound costed 6$=6$) and (rest 16 pounds costed each 2$=32)

1 + 16 = 17

6 $ + 32 $ = 38$

First pound does not cost 6$.

We need to initial fee of 6$ and additional 2$ per pound

Total cost =6+2n where n is total number of pounds.