Question

He learned an average of 130130130 new words per month when he lived in Portugal and an average of 150150150 new words per month when he lived in Brazil. In total, he learned 192019201920 new words.

How long did Wolfrich live in Portugal, and how long did he live in Brazil?

Answer 1

He take 5 months in Brazil and 9 months in Portugal.

Explanation:

Let us assume the number of months in Portugal be P

And, the number of months in Brazil be B

So, the following equations are made

P + B = 14 ..............(1)

130P + 150B = 1920 .........(2)

We can easily write as

P = 14 - B

Now put the value of P in the second equation

So,

130(14 - B) + 150B = 1920

20B = 100

B = 100 ÷ 20 = 5

P = 14 - 5 = 9

Hence, He take 5 months in Brazil and 9 months in Portugal.