SOLUTION: 1300 total number of hotdogs and hamburgers 962.00 total price .59 hot dogs .98 hamburgers Howmany of each?

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Question 115233: 1300 total number of hotdogs and hamburgers
962.00 total price
.59 hot dogs
.98 hamburgers
Howmany of each?
Answer by princess08(3) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of hotdogs.
Since the total number of hotdogs and hamburgers is 1300, let 1300-x be the number of hamburgers.
The price of hotdogs is .59, so the price of the purchased hotdogs will be .59*x.
The price of hamburgers is .98, so the price of the purchased hamburgers will be .98*(1300-x).
The total price is 962.00.
Thus, (.59*x)+(.98*(1300-x))=962.00
.59x + 1274 - .98x = 962
-.39x = -312
x= 800.
1300-x= 500.
Therefore, there are 800 hotdogs and 500 hamburgers.