Venn diagram
First-year university students choose a foreign language. Of 120 enrolled students, 75 chose English, 65 chose German, and 40 chose both English and German. Using a Venn diagram, determine:
- how many students chose only English,
- how many students chose only German,
- how many students chose English or German (or both),
- how many students chose neither English nor German.
- how many students chose only English,
- how many students chose only German,
- how many students chose English or German (or both),
- how many students chose neither English nor German.
Final Answer:

You need to know the following knowledge to solve this word math problem:
algebrabasic operations and conceptsGrade of the word problem
Related math problems and questions:
- Calculate
In one class, each of the 30 students speaks either English or German. Three of them speak both languages. Those who speak only German outnumber those who speak only English by three. Using a Venn diagram, calculate: How many students speak English? How m - Embassy Reception Languages Spoken
At the embassy reception, everyone knows at least one foreign language: 15 people speak English 12 people speak German 7 both How many people does this society consist of if no one speaks another language? - Language choice
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Z8-I-2 MO 2018
A new pupil came into the class, about whom it was known that apart from English he still knew excellently one foreign language. Three classmates were arguing about which language it is. The first judged: "It is not French." The second guessed: "It is Spa - Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses? - Woman language employees
The company has 120 employees, two-thirds of whom are women. Of the women, only a quarter speak both English and German. How many women talk in English and German? - Students Language Proficiency German
Two hundred fifty-five students of a certain high school know one other language in addition to English. Twenty-three more pupils mastered the German language than the Spanish language. The French language is mastered by 37 fewer pupils than the German la
