Venn diagram
University students choose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine:
- how many of the enrolled students chose English only
- how many of the enrolled students chose only German
- How many of the enrolled students chose English or German
- How many of the enrolled students chose neither English nor German
- how many of the enrolled students chose English only
- how many of the enrolled students chose only German
- How many of the enrolled students chose English or German
- How many of the enrolled students chose neither English nor German
Correct answer:
You need to know the following knowledge to solve this word math problem:
Grade of the word problem:
Related math problems and questions:
- English-German 6443
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. - Reception 5951
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 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? - Language 6588
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 Russian language. The French language is mastered by 37 fewer pupils than the German la - Two-thirds 73104
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? - Christmas or Easter
Please calculate this example by the Venn equation. They asked 73 students whether they liked Christmas or Easter. Thirty-four of them like one of the holidays. 39 loves Easter. There are twice as many students who wish for both holidays as those who only - Twenty-six 6320
There are 32 students in the class. Twenty-six of them are learning English, 15 are learning German, and four are learning only Russian. How many students are learning English and German? - Summer camp
Out of the 180 students at a summer camp, 72 signed up for canoeing. Twenty-three students signed up for trekking, and 13 also signed up for canoeing. Use a two-way table to organize the information and answer the following question: Approximately what pe - Languages 5741
There are 21 children in the class. Of these, 12 are learning German, and 16 are learning French. How many children learn both languages, and how many children only learn French? Cut out using a cartoon set. - Salami
We have six kinds of salami that have ten pieces and one kind of salami that has four pieces. How many ways can we distinctly choose five pieces of salami? - Drinks
In a country, 65% of people drink coffee, 50% drink tea 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee? - Students and exam
In a certain college, accounting is one of the courses; among the accounting students, 60% are male. Among the male students, 75% passed the exams, while among the females, 50% failed. (a) present this using a probability tree diagram (b) determine the pr - Corresponding 33321
The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: 159cm-1,161cm-1,162cm-2,163cm-1,164cm-2,165cm-2,166cm-3,167cm-2,167cm-3 6,172cm-7,173cm-9,174cm -5,175cm-2,177cm-1,178cm-4,179cm-2,181cm-1, - Pupils
There are 27 pupils in the classroom. They can swim 21 and ski nine pupils. Neither swim nor ski three pupils. How many pupils can swim and ski? - Below 5
Below is a collection of test scores from a class of 20 students. Make 2 histograms of the data. Choose your own horizontal scales as long as you have more than 4 cells in each histogram. 65 70 68 87 98 91 77 85 70 72 86 86 94 95 67 88 77 99 74 71 - Five-twelfths 39871
Five-twelfths of the students in the class learn English, a third learn German, a sixth learn French, and two students learn Russian. How many students are in the class, and how many languages are they learning? - Coloured teacups
The teacups in Tea Stop 55 are `2/5` green and `3/10` yellow. What fraction of the teacups are neither green nor yellow?