SOLUTION: i hate word problems. A restaurant purchased eight tablecloths and five napkins for $106. A week later, a tablecloth and six napkins were brought for $ 24. Find the cost of one t

Algebra ->  Linear-equations -> SOLUTION: i hate word problems. A restaurant purchased eight tablecloths and five napkins for $106. A week later, a tablecloth and six napkins were brought for $ 24. Find the cost of one t      Log On


   



Question 178696: i hate word problems.
A restaurant purchased eight tablecloths and five napkins for $106. A week later, a tablecloth and six napkins were brought for $ 24. Find the cost of one tablecloth and one napkin; assuming the same prices for both purchases.
This is what I started.
8t + 5n = 106
t + 6n = 24
mulyiply both sides by ( -8)
8t + 5n + 106
-8t - 48n = -192
-43n = 86
n = -2
I don' t think this is right.

Found 2 solutions by Mathtut, HyperBrain:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
your doing GREAT.......here is where you went wrong
:
8t + 5n + 106
-8t - 48n = -192
:
-43n = 86-------> this should be -43n=-86
:
therefore n=2 not -2
:
keep going you doing fine

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
You made the right solution. you got a negative result. It means that there is no solution since negative purchases are not realistic.
//You may contact me at adrianvidal07@hotmail.com
Power up,
HyperBrain!
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