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? Sakura spoke for minutes in Hungarian and for minutes in Polish.

The answer to the question is

Sakura spoke for___two_______ minutes in Hungarian and for_____three_________ minutes in Polish.

Step-by-step explanation:

To answer the question, we note that

Average speech rate for Hungarian = 150 words per minute

Average speech rate for Polish= 190 words per minute

Language used of cooking instruction = Hungarian

Language used of cleaning instruction = Polish

Total time for both instructions = 5 minutes

Number of words in Polish = 270 + Number of words in Hungarian

Let x be the number of words in Hungarian for the cooking instruction

Then we have x ÷ 150 words/min + (270 + x) ÷ 190 words/min = 5 minutes

That is  which gives or 17·x = 5100

whereby x = 300 words

Therefore we have    =

Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish

step-by-step explanation: