Question 1051597: Problem
Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian.How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian.How long did Sakura speak in Hungarian, and how long did she speak in Polish?
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H rate = 150 words/min
P rate = 190 words/min
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Note:: rate*time = words
Polish words - Hungarian words = 270
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Words Equation::190P - 150H = 270
Time Equation:: P + H = 5
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Modify::
19P - 15H = 27
19P + 19H = 95
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Subtract and solve for "H":
34H = 68
H = 2 minutes (time speaking Hungarian); 2*150 = 300 Hungarian words
P = 3 min (time speaking Polish); 3*190 = 570 Polish words
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Cheers,
Stan H.
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