Problem

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 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 number of months living in Portugal, and \( y \) to represent number of months living in Brazil. Equation 1: Equation 2:

Solution

Step 1 :Equation 1: x + y = 14

Step 2 :Equation 2: 130x + 150y = 1920

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