Question

*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.

Answer 1

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Answer 2

"Dominic lived in Spain for 13 months and Columbia for 7 months."

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 = 20

Also, 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=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

So

"Dominic lived in Spain for 13 months and Columbia for 7 months."