SOLUTION: I need to solve this problem using Systems of Equations and Inequalities. I am looking for a formula that I can just plug in the values and solve without worry. Ann is respon

Question 434029: I need to solve this problem using Systems of Equations and Inequalities. I am looking for a formula that I can just plug in the values and solve without worry.

Ann is responsible for ordering a week's supply of meat and fish for the main dishes at a local restaurant. The fish costs twice as much as the meat. She needs to order 164 meat selections and 24 fish selections. Her budget is $4240. How much can Ann spend on each type of main dish?
I tried to do 164 + 24 = 188, then I divided 4240 by 188 and came up with 22.56 per dish. I have a feeling that this is not the way to go because it was just way too easy.
Any help would be greatly appreciated.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ann is responsible for ordering a week's supply of meat and fish for the main dishes at a local restaurant.
The fish costs twice as much as the meat.
Let meat cost be "m"
Then fish cost is "2m"
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She needs to order 164 meat selections and 24 fish selections. Her budget is $4240. How much can Ann spend on each type of main dish?
------------------------------
Equation:
164m + 24(2m) = 4240
---
164m + 48m = 4240
212m = 4240
m = $20 (average price of the meat selections)
2m = $40 (average price of the fish selections)
===============
Cheers,
Stan H.
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