Kay G. answered • 03/05/14

~20 Years Accounting Tutoring Experience

Cheryl E.

asked • 03/05/14A 12lb puppy is gaining weight at a rate of 2/3lb per week. How much more time will it take for the puppy;s weight to exceed 37 2/3 lb?

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Kay G. answered • 03/05/14

Tutor

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~20 Years Accounting Tutoring Experience

Sorry, Cheryl, for all the confusion but it's not fair to you to leave an incorrect answer stand. But tutors and teachers mess up like anyone else. :-)

And the real truth is, none of us ever knows how you are required to solve a problem, for instance, whether you have to set it up as an algebra equation, etc.

So I'm going to offer the way I set it up as another variation., using an algebra expression. In the end, you'll have to determine what fits what you're learning right now.

I set it up as:

12 + 2/3x > 37 2/3

The puppy already weighs 12 pounds. It's going to gain weight at a rate of 2/3 pounds each week, and the x is how many weeks. So if you took 2/3 * x that would be how much weight was gained over that period of time. That added to the original 12 would be the total weight. So that's the setup.

Since you have to subtract 12 from both sides to start, that kind of puts it where Arthur was going, and the rest would be solved in the same manner.

I included the > sign since the problem says "exceeds" 37 2/3 pounds. This way the final result for x comes out correctly.

Arthur D. answered • 03/05/14

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Forty Year Educator: Classroom, Summer School, Substitute, Tutor

37 2/3 lbs - 12 lbs=25 2/3 lbs needed to gain to reach 37 2/3 lbs

the puppy gains 2/3 lb per week

(25 2/3)/(2/3)=(77/3)/(2/3)=(77/3)(3/2)=77/2=38 1/2 weeks to gain 25 2/3 lbs

after 38 1/2 weeks the puppy will weigh 37 2/3 lbs

anytime beyond 38 1/2 weeks the puppy will gain more weight and exceed 37 2/3 lbs

Parviz F. answered • 03/05/14

Tutor

4.8
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Mathematics professor at Community Colleges

Gain is 2/3 lb per week.

n - number of weeks to gain 32 2/3

n * 2/3( lb/week)) = 37 2/3(lb )

n = 37 2/3 (lb) / ( 2/3) (lb/w) =

= 113/3 *3/2 =56 1/2 weeks

Parviz F.

This problem come up with a general concept of Total / rate = numbers.

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03/05/14

Bethann D.

Parviz,

I think you are forgetting that the puppy starts out weighing twelve pounds and they want to know when its total weight is over the 37 2/3 pounds. They do not want to know how long it takes for the puppy to gain 37 2/3 lbs. Also, please do not list the answer for the student, but work them through it and make sure they understand how to solve the problem. Thanks!

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03/05/14

Parviz F.

Thank you Bethann:

However ,the statement Reads : " How long it takes puppy to gain 37 2/3 lbs" , so problem deals with gain of

37 1/2 lb , regardless the starting weight, you were correct if it said, reach 37 2/3 lb after the gain, in that case had to subtract 12 lb from 37 2/3 lb ,then divide by 2/3 lb, where Arthur has got it below.

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03/05/14

Bethann D.

The problem that I am reading states that we are trying to determine "how much time until the puppy's weight exceeds 37 2/3 lbs." I am confused as to where you are getting this information?

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03/05/14

Kay G.

Parviz, your answer is incorrect. The problem says "exceed 37 2/3 pounds" not "gain 37 2/3 pounds." There is definitely a difference between those two things. While I understand that anyone can misread something, you should have re-read it again once this was pointed out to you. The word "gain" is not in that sentence anywhere.

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03/05/14

Bethann D. answered • 03/05/14

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Mathematics, SAT, and General Tutor

Cheryl,

To begin this problem, I would suggest using a table like the one shown below:

Beginning Week 1 Week 2 Week 3 Etc.

Weight of Puppy 12lbs.

If the puppy gains 2/3 pounds per week, how much would he weigh in week 1? Week 2? Week 3? Continue to calculate this until you reach the point where your answer is greater than 37 2/3lb. Then answer the question by giving the amount of time that has passed.

Let me know if you need more clarification!

Parviz F.

Hi Bethann:

It would be nice , if made problem work algebraically, and since the rate of change is constant make a linear model for the problem, between weight and the number of weeks to gain, and proceed from that.

W = 12 + 2/3 n

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03/05/14

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Bethann D.

03/05/14