At the Zamenhof Language School, at least 70% of the students take English each year, at least 40% take German each year, and between 30% and 60% take Italian each year. Every student must take at least one of these three languages, and no student is allowed to take more than two languages in the same year. What is the possible percentage range for students taking both English and German in the same year?
Answers
Step-by-step explanation:
i guess u have to do answer by own ok but I can give a hint - devide all by 100 after that divide all the values by 100 and multiply by it's total
The range of students taking both English and German in the same year is 10%-70%.
Given:
at least 70% of the students take English each year
at least 40% take German each year
between 30% and 60% take Italian each year
To find:
possible percentage range for students taking both English and German in the same year
Solution:
Let's take 100 students at school
The smallest value for the number of students who take both courses English and German = 70 + 40 - 100 = 10
If 10 students take both English and German, 30 students take German only, 30 students take both Italian and English and the remaining 30 students take English only, so the percentage of minimum students who take English and German is 10 %.
Suppose there are 100 students, 100 of them take English, 70 of them study German, and 30 of them take Italian in addition to English. Again, every criterion in the question is met, demonstrating that the maximum achievable percentage for students taking both English and German is 70.
Hence, the range of students taking both English and German in the same year is 10%-70%.
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