Question

lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese.He learned an average of 130 new words per month when he live in Portugal and an average of 150 new words per month when he lived in Brazil.In total he learned 1920 new words.Write a system of equations to represent this situation.Use x to represent Portugal, and y to represent Brazil.

Answer 1

x+y=14

130x+150y=1920

Explanation:

Let x be the time he stayed in Portugal, and y be the time he stayed in Brazil (in months):

x+y=14 (he lived in Portugal and Brazil for a total of 14 months_

130x+150y=1920 (he learned 130 words per month in Portugal and 150 words per month in Brazil for a total of 1920 words)