Pytagoriade
Two fifth-grader teams compete in math competitions - Mathematical Olympiad and Pytagoriade. Out of 33 students in class 5A, 22 students competed in at least one of the competitions. Students who competed only in the Pytagoriade were twice as many who just competed in the Mathematical Olympiad. Students who competed in both competitions were four times more than those who only competed in Pytagoriade.
a) How many students competed in both competitions?
b) How many students competed in just one competition?
c) How many students competed in no more than one competition?
a) How many students competed in both competitions?
b) How many students competed in just one competition?
c) How many students competed in no more than one competition?
Correct answer:

Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
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:
- Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv
- Remaining 4165
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- Remaining 4448
3/4 of the class went skiing. Of those who stayed home, 1/3 fell ill, and the remaining 6 were at a math camp. How many students does the class have?
- 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
- Class 8.A
Three-quarters of class 8A went skiing. One-third of those who remained at home were ill, and the remaining six were on math Olympic. How many students have class 8A?
- Championship on primary school
A district championship of primary school pupils took place at the athletics stadium. In athletics, they competed in four disciplines: long jump, high jump, 60m run, 400m run. Peter counted from the stands the person present in the stadium area. Seventeen
- 9.A
Class 9A has more than 20 students but fewer than 40 students. A third of the pupils wrote a math test to mark 1, the sixth to mark 2, and the ninth to mark 3. No one gets a mark of 4. How many students of class 9A wrote a test to mark 5?