MATH SOLVE

2 months ago

Q:
# *URGENT*TEST TOMORROW*Dominic lived in Spain and Columbia for 20 months in order to learn Spanish. He learned an average of 120 words per month while living in Spain and learned an average of 150 words per month while living in Columbia. In total, he learned 2610 new words. Determine how many months Dominic lived in each country. Dominic lived in Spain for ______ months and Columbia for ______ months.

Accepted Solution

A:

Answer:"Dominic lived in Spain for 13 months and Columbia for 7 months."Step-by-step explanation:let months stayed in spain be "s" and months stayed in columbia be "c"We can write 2 equations.Since, lived in Spain and Columbia for a total of 20 months, we can write:s + c = 20Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:120s + 150c=2610Solving first for s:s = 20 - cPutting in 2nd and solving:120(20 - c) + 150c = 26102400 - 120c + 150c = 261030c = 210c = 7Now, s = 20 - c = 20 - 7 = 13So "Dominic lived in Spain for 13 months and Columbia for 7 months."