Question 1195574: Can I please Have help with this, Thank You!
Write the inequalities and describe the following statements(but don’t solve them)
A. The sum of two natural numbers is less than 22.
B. A computer company manufactures tablets and personal computers. The plant equipments limits the total number of both that can be manufactured in one day. No more than 180 can be produced in one day.
C. A farmer grows potatoes and tomatoes. At most,$9,000 can be spent on seeding costs and it cost $100 acre to plant tomatoes and $200/acre to plant potatoes.
D. Wei owns a pet store and wishes to buy at least 8 cats and 10 dogs from a breeder. Cat cost $35 each and dogs cost $150 dollars each. Wei does not want to spend more than $1,700 in total.
Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website! .
Can I please Have help with this, Thank You!
Write the inequalities and describe the following statements(but don’t solve them)
A. The sum of two natural numbers is less than 22.
B. A computer company manufactures tablets and personal computers. The plant equipments limits
the total number of both that can be manufactured in one day. No more than 180 can be produced in one day.
C. A farmer grows potatoes and tomatoes. At most,$9,000 can be spent on seeding costs
and it cost $100 acre to plant tomatoes and $200/acre to plant potatoes.
D. Wei owns a pet store and wishes to buy at least 8 cats and  10 dogs from a breeder.
Cat cost $35 each and dogs cost $150 dollars each. Wei does not want to spend more than $1,700 in total.
~~~~~~~~~~~~~~~
(A) Let x and y are two natural numbers.
Then translation of the wording part to Math description is this system of inequalities
x + y < 22
x >= 0, y >= 0;
x and y are natural numbers.
(different sources define natural numbers differently. In my solution, I assume
that natural numbers are NON-NEGATIVE integers, although different definitions are possible).
Part (A) is completed.
(B) Let integer T denotes the number of tablets, and integer P denotes the number of personal computers.
Then translation of the wording part to Math description is this system of inequalities
T + P < 180
T >= 0, P >= 0;
T and P are integer numbers.
(C) Regarding (C), the wording description looks to be incomplete, or different parts are not
logically connected with each other.
(D) * * * Pay attention on how I edited your post in this part. * * *
Let integer C denotes the number of cats, and integer D denotes the number of dogs.
Then translation of the wording part to Math description is this system of inequalities
C >= 8, D >= 10
35*C + 150*D <= 1700
C and D are integer numbers.
Completed.
At this point, you just have several TEMPLATES, and you can use them to create your own translation
for your future similar problems.
Usually, the translation process can be described by these words:
*******************************************************
Write inequalities as you read the problem.
*******************************************************
/////////////////
In the future, please do not pack too many questions in one post.
It is not in your interests.
Otherwise, you will often get a mess in response (if any).
|
|
|
