SOLUTION: If a man learns 130 words a month in country A and 150 words a month in country B and learns a total of 1920 words in 14 months how many months did he stay in each country

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Question 1108972: If a man learns 130 words a month in country A and 150 words a month in country B and learns a total of 1920 words in 14 months how many months did he stay in each country
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
R, words per month
T, number of months of time
W, number of words
W%2FT=R
R is a separate constant depending on which country. 
COUNTRY        RATE        TIME       WORDS
A              130          t         130t
B              150         14-t      150(14-t)
Totals                      14        1920

highlight_green%28130t%2B150%2814-t%29=1920%29
-
13t%2B15%2814-t%29=192
13t%2B15%2A14-15t=192
-2t=192-15%2A14
2t=18
highlight%28t=9%29--------9 months in country A
-
highlight%285%29---------5 months in country B