Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920new words. How long did Wolfrich live in Portugal and how long did he live in Brazil? Wolfrich lived in Portugal for months and lived in Brazil for months.

Question

Mathematics

Talia Ruiz

7 January, 10:18

Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal, and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920new words. How long did Wolfrich live in Portugal and how long did he live in Brazil? Wolfrich lived in Portugal for months and lived in Brazil for months.

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Answers (1)

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Kaitlynn Horne · Answer 1

We let

x as the number of months he spent in Portugal

y as the number of months he spend in Brazil

From the problem, we can generate the following equations

x + y = 14

130x + 150y = 1920

Solving the equation gives us

x = 9 months in Portugal

y = 5 months in Brazil