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 good deal on chicken dinners at $9 each,

Question 1042468: 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 good 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 coast of all the meals is $525, how many of each type of dinner do you buy?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You need a total of 45 dinners
Let = number of chicken dinners ordered
Let = number of salmon dinners ordered
Let = number of steak dinners ordered
----------------------------------------
(1)
(2)
(3)
----------------------------
(1)
(1)
Substitute (1) into (2)
(2)
(2)
(2)
----------------------------
(1)
(1)
(1)
Substitute (1) into (3)
(3)
(3)
(3)
(3)
(3)
(3)
------------------
(1)
(1)
(1)
(1)
-------------------
15 chicken dinners were ordered
20 salmon dinners were ordered
10 steak dinners were ordered
--------------------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
(3)
OK
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