SOLUTION: Roger bought some turkey and some roast beef for the soccer club picnic. He paid $150 for a total of 20 pounds of meat. The turkey cost $6 per pound, and the roast beef cost $5 p

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Roger bought some turkey and some roast beef for the soccer club picnic. He paid $150 for a total of 20 pounds of meat. The turkey cost $6 per pound, and the roast beef cost $5 p      Log On


   



Question 1147904: Roger bought some turkey and some roast beef for the soccer club picnic. He paid $150 for a total of 20 pounds of meat. The turkey cost $6 per pound, and the roast beef cost $5 per pound. Which system of equations could be used to correctly determine how many pounds of each type of meat Roger purchased?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
t turky
b beef
system%28t%2Bb=20%2C6t%2B5b=150%29

Recheck the problem description in case a piece of information is wrong.

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
Roger bought some turkey and some roast beef for the soccer club picnic. He paid $150 for a total of 20 pounds of meat.
The turkey cost $6 per pound, and the roast beef cost $5 per pound.
Which system of equations could be used to correctly determine how many pounds of each type of meat Roger purchased?
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Usually, and as a rule,  writing such a system to such a problem is traditionally considered
as absolutely clear,  trivial and self-evident action.


But in your problem input data make the solution  IMPOSSIBLE in real positive numbers  (!)


Notice that even  20  pound of turkey at  $6  per pound cost only  $120  dollars,  which is  LESS  than  $150.

Therefore,  the solution does not exist in positive real numbers.


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