SOLUTION: Your company reached it sales goals for the year so you decide to buy dinner for your 45 employees. You find a restaurant that gives you a deal on chicken dinners at 9 each, salmon

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Your company reached it sales goals for the year so you decide to buy dinner for your 45 employees. You find a restaurant that gives you a deal on chicken dinners at 9 each, salmon      Log On


   

Question 1042611: Your company reached it sales goals for the year so you decide to buy dinner for your 45 employees. You find a restaurant that gives you a deal on chicken dinners at 9 each, salmon dinners at 12 each and steak dinners at 15 each. The number of chicken dinners you order is half the sum of salmon and steak dinners. If the total cost of all of the meals is 525 how many of each type of dinner do you buy?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
c chicken dinners,
s salmon dinners, 
t steak dinners

system%28c%2Bs%2Bt=45%2Cc=%28s%2Bt%29%2F2%2C9c%2B12s%2B15t=525%29, the accounting of dinners, relation between c and s, and cost. Solve the system.



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Simplify the cost equation as a first step. Divide members by 3.
3c%2B4s%2B5t=175;
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System may be adjusted to system%28c%2Bs%2Bt=45%2C2c=s%2Bt%2C3c%2B4s%2B5t=175%29.