SOLUTION: Given the following applications, define two variables, express as a linear ineqality, and state appropriate nonegative restrictions Dana wants to purchase ribbon to make bows.

Algebra ->  Inequalities -> SOLUTION: Given the following applications, define two variables, express as a linear ineqality, and state appropriate nonegative restrictions Dana wants to purchase ribbon to make bows.       Log On


   

Question 837222: Given the following applications, define two variables, express as a linear ineqality, and state appropriate nonegative restrictions
Dana wants to purchase ribbon to make bows. Blue ribbons cost $1.99 per yard and gold ribbon cost $3.50 per yard. How many yards of each type of ribbon can Dana purchase if she can spend at most $30 together?

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let x equal the number of yards of blue ribbons.
let y equal the number of yards of gold ribbons.
the cost for blue ribbons is equal to 1.99 * x.
the cost for gold ribbons is equal to 3.50 * y.
since dana can spend 30 dollars at most, the equation you are looking for is:
1.99 * x + 3.50 * y <= 30
the restrictions are that the value of x and the value of y must be greater than or equal to 0.
this can be defined as:
x >= 0
y >= 0
or as:
x,y >= 0