SOLUTION: Jessica lived in Spain and Columbia for a total of 10 months in order to learn Spanish. She learned an average of 150 words per month when she lived in Spain and an average of 200

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Question 1166538: Jessica lived in Spain and Columbia for a total of 10 months in order to learn Spanish. She learned an average of 150 words per month when she lived in Spain and an average of 200 words per month when she lived in Columbia. In total she learned a total of 1700 new words. How long did Jessica live in Spain, and how long did she live in Columbia?

Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the number of months in Spain;

then the number of months in Columbia is (10-x).


From the condition, you have this equation for the total of the learned words


    200*x + 150*(10-x) = 1700   new words.


From the equation


    200x + 1500 - 150x = 1700

     50x               = 1700 - 1500 = 200

       x                             = 200/50 = 4.


ANSWER.  4 months in Spain and (10-x) = 6 months in Columbia.

Solved and explained.

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