Question

Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese. He learned an average of 130 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 1920 new words write a system of equations to represent this situation. Use x to represent Portugal, and y to represent Brazil.

Answer 1

Number of months that Lance lived in Portugal: x
Number of months that Lance lived in Brazil: y

Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese:
(1) x+y=14

He learned an average of 130 words per month when he lived in Portugal:
Number of words that Lance learned in Portugal: 130x

and an average of 150 new words per month when he lived in Brazil:
Number of words that Lance learned in Brazil: 150y

In total, he learned 1920 new words:
(2) 130x+150y=1920

Write a system of equations to represent this situation:
(1) x+y=14
(2) 130x+150y=1920