SOLUTION: Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richie walks dogs to earn money. Phoebe charges $12 each

Algebra ->  Linear-equations -> SOLUTION: Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richie walks dogs to earn money. Phoebe charges $12 each       Log On


   

Question 1197400: Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richie walks dogs to earn money. Phoebe charges $12 each time she weeds a yard and Richie charges $9 each time he walks a dog. The number of dog walks that Richie has scheduled is no more than twice the number of yards Phoebe has scheduled to weed. Richie will walk at least 25 dogs.
Click “show your work” below write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked. (HINT: there are 3 constraint equations).
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
Richie and Phoebe are saving money to buy a new tv.
They need at least $510 to purchase the new TV.
Phoebe weeds yards and Richie walks dogs to earn money.
Phoebe charges $12 each time she weeds a yard and Richie charges $9 each time he walks a dog.
The number of dog walks that Richie has scheduled is no more than twice the number of yards
Phoebe has scheduled to weed. Richie will walk at least 25 dogs.
Click “show your work” below write a set of constraints to model the problem,
with x representing the number of lawns weeded and y representing the number of dogs walked.
(HINT: there are 3 constraint equations).
~~~~~~~~~~~~~~~~~ 

    12x + 9y >= 510

      y      <= 2x

      x >=0,  y>= 25.


The inequality x >= 0 is just covered by other inequalities, so it can be omitted.

It is what you want to get.

Simply write inequalities as you read the problem - there is nothing transcendent in it.

It is REALLY EASY.



Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of weeded yards
y = number of walked dogs

the 3 constraint inequalities are:

12x + 9y >= 510
this says that the number of yards weeded times 12 dollars a yard plus the number of dogs walked times 9 dollars a dog must be greater than 510 dollars.

y <=2x
this says that the number of dogs scheduled to be walked must be less than or equal to twice the number of yards scheduled to be weeded.

y >= 25
this says that the number of dogs scheduled to be walked must be greater than or equal to 25.