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.
