Christmas or Easter

Please calculate this example by the Venn equation.

They asked 73 students whether they like Christmas or Easter. 34 of them like one of the holidays. 39 loves Easter. There are twice as many students who wish both holidays than those who only love Easter.

How many students only like Christmas (a =)?
How many students do not like any of the holidays (b =)?

Correct answer:

a =  21
b =  13

Step-by-step explanation:

73 = a + b + 39
34 = a + 39 - c
c = 2•(39-c)

a+b = 34
a-c = -5
3c = 78

a = 21
b = 13
c = 26

Our linear equations calculator calculates it.

$b=13$

Try another example

Related math problems and questions:

• Pytagoriade
  Two fifth-graders teams competing in math competitions - in Mathematical Olympiad and Pytagoriade. Of the 33 students competed in at least one of the contest 22 students. Students who competed only in Pytagoriade were twice more than those who just compet
• MF graduate
  78 school students graduate from mathematics or physics. There are three times more students who graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate fro
• Venn diagram
  University students chose 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
• Holidays
  Of the 35 students of the class were 7 on holiday in Germany and just as much in Italy. 5 students visited Austria. In none of these countries was 21 students, all three visited by one student. In Italy and Austria were 2 students and in Austria and Germa
• Brothers and sisters
  There are 35 children in the class, 23 of them have a brother, and 27 of them have a sister. How many children have both a brother and a sister when there are 5 children in the class who have no brother or sister?
• 80 students
  80 students were asked what type of test they preferred. 50 students said they liked multiple choice and 42 liked true or false. If 36 liked both multiple choice and true or false types, how many students preferred multiple choice only?
• Pair
  They have together 39 years - he has 2 times as she was when he was equal as she has today ....
• 7th grade pupils
  Pupils doing research which a winter sport do their classmates most popular. They found that 2/5 of classmates would most like to play hockey, skate prefer 2/9 pupils, 3/10 students prefer skiing and 1/15 classmates don't like any winter sport. What propo
• Average height
  In a class are 34 students. The average height of the students is 165 cm. What will be the average height of students in the classroom when two pupils, tall 176 cm and 170 cm, moved from this school/class?
• Buttons
  Shirt has 6 buttons, blouse has 4 buttons. All buttons are 176. Shirts and blouses are together 36. How many are the shirts and blouses?
• Classs mean
  Class size is 30 students, math was not worse than sign 2. Determine the number of pupils who were sign 1 if the class had a 1.4 sign average.
• Three friends
  Peter is eight times older than Rado, Rado is 3 times younger than Joseph. Together they have 120 years. Determine how many are each of them.
• Dance ensembles
  4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
• Stamps and albums
  Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second and in the second is by 1/5 less than in the third. How many stamps are in the first album?
• Divisible by 5
  How many three-digit odd numbers divisible by 5, which are in place ten's number 3?
• Donuts
  In the dining room at one table sit Thomas, Filip and Martin. Together they eat 36 donuts. How many donuts eaten everyone, when Filip ate twice as much as Thomas and Martin even half over Filip?
• The professor's birthday
  Professor of mathematics had 57 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years than you were when I was old as to you today." How old is the direct