MATH SOLVE

10 months ago

Q:
# Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 555 minutes total giving both instructions, and spoke 270270270 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.

Accepted Solution

A:

Answer:300 words in Hungarian and 570 in Polish.Step-by-step explanation:I guess you need to know the number of words in Hungarian and in Polish.Let H be the words he said in Hungarian, and P the words he said in Polish.
We are told that Sakura uttered a total of 270 more words in Polish than in Hungarian, therefore:
P = H + 270
And that I speak for 5 minutes, we know that the speed of words in Hungarian is 150 and in Polish it is 190, therefore:
5 = H / 150 + P / 190
Thus we have two equations and two unknowns, that is, it has a solution, replacing P:
5 = H / 150 + (H +270) / 190
5 = (190 * H + 150 * H + 270 * 150) / (150 * 190)
5 * 150 * 190 = 340 * H + 270 * 150
H = (5 * 150 * 190 - 270 * 150) / 340
H = 300
Therefore he said 300 words in Hungarian.
In Polish it would be:
P = 300 + 270 = 570
To check we have to:
300/150 + 570/190 = 5
Therefore, Sakura giving the instructions said 300 words in Hungarian and 570 in Polish.