SOLUTION: (a)the owner of a shop wishes to buy x guitars and y violins.to satisfy the demand of his customers,the number of violins must be less than or equal to the number of guitar.(i)writ

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: (a)the owner of a shop wishes to buy x guitars and y violins.to satisfy the demand of his customers,the number of violins must be less than or equal to the number of guitar.(i)writ      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 820937: (a)the owner of a shop wishes to buy x guitars and y violins.to satisfy the demand of his customers,the number of violins must be less than or equal to the number of guitar.(i)write an inequality to represent this information.the cost of the guitar is $150 and the cost of one violins .tis $300.he has $4500 to spend on the purchase of these instrument.(ii) write an inequality to represent this information
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(a) & (i)
y%3C=x, directly translated from that condition described.

(ii)
Attempting cost relationship
Highest cost allowed is 4500 dollars.
150x%2B300y%3C=4500
Reducible to
x%2B2y%3C=30
Again, reworded, the cost of the guitars and violins must be less than or equal to 4500 dollars.

You did not say if you want to combine these inequalities for a solution. This can be done easily enough checking on a graph. Plot both equations (the two unique ones; not the unreduced cost one) as their lines, and then test any point in each of the four regions;
What I mean to say is, graph the system:
highlight%28x%3C=y%29 and highlight%28x%2B2y%3C=30%29 onto the same coordinate system. The reason that you want to use the REDUCED cost inequality is because it is easier to use.