SOLUTION: I'm having a problem with word problems.I don't like them.I get confused on where to start .Can you help me on this one? Please Find the selling price per kilo of a grated chees

Question 112275: I'm having a problem with word problems.I don't like them.I get confused on where to start .Can you help me on this one? Please
Find the selling price per kilo of a grated cheese mixture made from 6kg og cheese that cost $10.50 per kilogram and a 15 kilograms of cheese thats $7.00 per kilogram.

Thanks in advance for your help
This problem is from a homework handout , its not in the book.
Laurie
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
THE BEST PLACE TO START WHEN SOLVING WORD PROBLEMS IS:
FIRST, FIGURE OUT WHAT THE PROBLEM IS ASKING YOU TO DETERMINE (IN THIS CASE IT'S THE SELLING PRICE PER KILO OF A GRATED CHEESE MIXTURE)AND,THEN,ASSIGN AN UNKNOWN (OR UNKNOWNS)TO REPRESENT WHAT YOU ARE TRYING TO DETERMINE.
NEXT, TRY TO FIGURE OUT HOW TO SET UP THE EQUATION THAT YOU WILL SOLVE IN ORDER TO DETERMINE THE UNKNOWN(S). IN THIS CASE IT WAS EASY BECAUSE WE KNOW THAT THE THE TOTAL PRICE BEFORE THE MIXTURE HAS TO EQUAL THE TOTAL PRICE AFTER THE MIXTURE.
FINALLY, SOLVE THE EQUATION THAT YOU HAVE SET UP AND CHECK TO SEE IF THE CONDITIONS OF THE PROBLEM ARE MET.
LAY OUT THE PROBLEM IN AN ORDERLY FASHION
Let x=selling price per kilo of the final grated cheese mixture
Now we know that the total cost of the final mixture ((6kg+15kg)*x) has to equal the total cost of the grated cheese before the mixture takes place (6 kg*$10.50+15 kg*$7.00). So our equation to solve is:
21x=6*$10.50+15*$7.00
21x=$63+$105
21x=$168 divide both sides by 21
x=$8 per kilo
CK
$8*21 kg=$10.50*6 kg+$7.00*15 kg
$168 =$63+$105
$168=$168

Hope this helps----ptaylor

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