Answer :
Answer:
Gabriela Mistral works as a humanitarian for [tex]8[/tex] days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is [tex]1:1:3:2[/tex]
Let [tex]x[/tex] denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,
[tex]\frac{3}{7}x=12\\ x=\frac{7}{3}(12)\\ x=28[/tex]
Total number of days [tex]=x=28[/tex]
So,
she works as a humanitarian for [tex]\frac{2}{7}x=\frac{2}{7}(28)=8[/tex] days.
Final answer:
If Gabriela works 12 days as a teacher, she would have to work 8 days as a humanitarian. This is determined by understanding the ratio of her workweek and applying that to the number of days she teaches.
Explanation:
The problem is about Gabriela Mistral's work week, which consists of different roles. The ratio is 1 day as a poet, 1 day as a diplomat, 3 days as a teacher, and 2 days as a humanitarian.
This means that the total ratio is 1+1+3+2 = 7 days. So, each unit of the ratio represents a day in a 7-day week.
If Gabriela works 12 days as a teacher and the teacher role represents 3 days in the ratio, then each unit of the ratio now represents 12/3 = 4 actual days.
Thus, if the role of the humanitarian is equivalent to 2 days on the ratio, in real life, it would be 2 * 4 = 8 days.
So she needs to work 8 days as a humanitarian if she works 12 days as a teacher.
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