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 270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish?

a) 2 minutes in Hungarian and 3 minutes in Polish.
b) 3 minutes in Hungarian and 2 minutes in Polish.
c) 4 minutes in Hungarian and 1 minute in Polish.
d) 1 minute in Hungarian and 4 minutes in Polish.

Answer 1

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

Step-by-step explanation:

Let's say Sakura spoke in Hungarian for x minutes and in Polish for y minutes.

According to the given information, Sakura spoke 150x words in Hungarian and 190y words in Polish.

We know that Sakura spent a total of 5 minutes speaking. So, x + y = 5.

It is also given that Sakura spoke 270 more words in Polish than in Hungarian. So, 190y - 150x = 270.

Now, we can solve these two equations simultaneously to find the values of x and y.

After solving the equations, we get x = 2 and y = 3. Therefore, Sakura spoke 2 minutes in Hungarian and 3 minutes in Polish.