He learned and average of 130 words per month when he lived in Portugal and an average of 150 née words per months when he lived in Brazil. In total he learned 1920 new words. How long did wolfrich live in Portugal, and how long did he live in Brazil?

Number of months lived in Portugal =9

Number of months in Brazil  = 14-9 = 5

Step-by-step explanation:

Let x= Number of months lived in Portugal , then

Number of months in Brazil = 14 months (As total months he spent in both countries = 14)

Also, as per given,

130(x)+150(14-x)=1920

⇒ 130x+2100-150x=1920

⇒ -20x=1920-2100

⇒ -20x=-180

⇒ x=9  [divide both sides by -20]

Hence, Number of months lived in Portugal =9

Number of months in Brazil  = 14-9 = 5

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