Favourite singers
A poll carried out among 200 students of one school found out which of the singers V. Neckář,
K. Gott, W. Matuška is the most popular. It brought the following results: Gott is popular with 78
students, Matuška with 75 students, and Neckář with 101. It was further found that all three of them are
popular with 28 students. Those who admire exactly two of these three singers are 22, of them exactly
half admire the pair Neckář and Matuška. Students who admire only Matuška are
7 fewer than those who admire only Gott.
(a) How many students admire V. Neckář?
(b) How many students admire K. Gott?
(c) How many students admire W. Matuška?
(d) How many students do not admire any of the mentioned?
Your answer:
K. Gott, W. Matuška is the most popular. It brought the following results: Gott is popular with 78
students, Matuška with 75 students, and Neckář with 101. It was further found that all three of them are
popular with 28 students. Those who admire exactly two of these three singers are 22, of them exactly
half admire the pair Neckář and Matuška. Students who admire only Matuška are
7 fewer than those who admire only Gott.
(a) How many students admire V. Neckář?
(b) How many students admire K. Gott?
(c) How many students admire W. Matuška?
(d) How many students do not admire any of the mentioned?
Your answer:
Tips for related online calculators
Do you have a linear equation or system of equations and are looking for a solution? Or do you have a quadratic equation?
You need to know the following knowledge to solve this word math problem:
algebraUnits of physical quantitiesGrade of the word problem
Related math problems and questions:
- 7th grade pupils
Students researched which winter sport is most popular among their classmates. They found that 2/5 would most like to play hockey, 2/9 prefer skating, 3/10 prefer skiing, and 1/15 do not like any winter sport. What proportion of pupils prefer a sport othe - 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 - Fish mushroom respondents
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms? - Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How - MO Z6-I-2 2017
Erica wanted to offer chocolate to her three friends. When she took it out of her backpack, she found that it was broken, as shown in the picture. (The marked squares are identical.) The girls agreed not to break the chocolate any further and drew lots to - Chess
How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
