SOLUTION: your company reached its goal so you decide to buy dinner for your 45 employees. the chicken dinners are $9, salmon dinner is $12, and steak dinner $15. the number of chicken dinne

Question 1039757: your company reached its goal so you decide to buy dinner for your 45 employees. the chicken dinners are $9, salmon dinner is $12, and steak dinner $15. the number of chicken dinners you order is half the sum of the number of salmon and steak dinners. the total cost of all meals is $525, how many of each type of dinner do you buy?
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please help!! thank you!!!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of chicken dinners bought
Let = number of salmon dinners bought
Let = number of steak dinners bought
-----------------------------------------
(1)
(2)
(3)
--------------------------
There are 3 equations and 3 unknowns, so it's solvable
(1)
Substitute (1) into (2)
(2)
(2)
(2)
-------------------
(2)
(2)
and
(3)
(3)
(3)
(3)
------------------------
Multiply both sides of (2) by
and subtract (2) from (3)
(3)
(2)
----------------------

and
(2)
(2)
(2)
--------------------
You bought:
15 chicken dinners
20 salmon dinners
10 steak dinners
--------------------
check:
(3)
(3)
(3)
(3)
OK
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