Combination of Packages

• Dec 1st 2018, 08:29 AM
harpazo
Combination of Packages
The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?

A. 9
B. 10
C. 12
D. 13
E. 14

Seeking one or two hints.
• Dec 1st 2018, 08:55 AM
MarkFL
Re: Combination of Packages
I would look at each given choice, and see if that weight can be made from the sum of some combination of the given numbers.

9 = 5 + 3 + 1...so A is out.

10 = 7 + 3...so B is out.

Continue on...which choice isn't possible?
• Dec 2nd 2018, 06:54 PM
harpazo
Re: Combination of Packages
Quote:

Originally Posted by MarkFL
I would look at each given choice, and see if that weight can be made from the sum of some combination of the given numbers.

9 = 5 + 3 + 1...so A is out.

10 = 7 + 3...so B is out.

Continue on...which choice isn't possible?

12 = 7 + 5
So, 12 is out.

13: 1 + 5 + 7
So, 13 is out.

The answer is 14. No combination of 1, 3, 5, and 7 produce a sum of 14.
• Dec 2nd 2018, 07:41 PM
Plato
Re: Combination of Packages
Quote:

Originally Posted by harpazo
The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?

A. 9
B. 10
C. 12
D. 13
E. 14
Seeking one or two hints.

Look at this expansion.
Can you see why 14 is the correct answer?
• Dec 2nd 2018, 07:51 PM
harpazo
Re: Combination of Packages
Quote:

Originally Posted by Plato
Look at this expansion.
Can you see why 14 is the correct answer?

I found the answer after playing with the question. The link you provided is too advanced for me.

Keep in mind a few things about me:

1. I am 53 years old.

2. I majored in Sociology not math.

3. I have not been a student in a formal class setting since the Fall of 1993.

4. The highest math course I took as an elective was precalculus in the Spring 1993 semester. I got an A minus.
• Dec 2nd 2018, 08:41 PM
Plato
Re: Combination of Packages
Quote:

Originally Posted by harpazo
I found the answer after playing with the question. The link you provided is too advanced for me. Keep in mind a few things about me:
1. I am 53 years old.
2. I majored in Sociology not math.
3. I have not been a student in a formal class setting since the Fall of 1993.
4. The highest math course I took as an elective was precalculus in the Spring 1993 semester. I got an A minus.

Frankly my dear I can't give a damn about any of the above. YOU have chosen to post serious mathematical questions here.
We here are a group of serious people here and we give you serious answers. The fact that one may not have the background experience to understand the provided help in no way is our concern. So don't ask a question if you are not prepared to understand the answer. Or if you don't understand the answer, say what it is it is that you don't understand. Do not blame us for your lack of understanding.
• Dec 2nd 2018, 09:51 PM
MarkFL
Re: Combination of Packages
Quote:

Originally Posted by harpazo