Respuesta :
Answer:
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 [tex]\frac{x}{150} +\frac{x+270}{190} = 5[/tex] which gives [tex]\frac{17x+2025}{1425} = 5[/tex] or 17·x = 5100
whereby x = 300 words
Therefore we have [tex]\frac{300}{150} minutes . Hungarian +\frac{300+270}{190} minutes .Polish = 5 minutes.total[/tex] =
Sakura spoke for 2 minutes in Hungarian and for 3 minutes in Polish
