Question

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 270more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?

Answer 1

Let n be the number of words spoken in Hungarian, and n+270 be the number of words spoken in Polish. Then:
n/150 + n+270/190=5
19n+15n+4050=14250
34n=10200
n=300
300 words in Hungarian
570 words in Polish
570/190=3 minutes in Polish
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