Natural numbers + sets - math problems

Number of problems found: 10

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
School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma
Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan
Small painters
There are ten pupils in the painting group. Eight pupils paint with watercolors and nine pupils with tempera colors. How many pupils paint both water and tempera colors when each pupil paints?
The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numbers sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
Wafers
They used 200 pieces to make wafers. 157 topped with caramel topping and 100 with sugar topping. How many wafers did both toppings have?
Mba studium
At MBA school, fourth-year students can choose from three optional subjects: a) mathematical methods, b) social interaction, c) management Each student studies one of these subjects. The mathematical methods studied 28 students, the social interaction 27
Triangles
Ivo wants to draw all the triangles whose two sides of which have a length of 4 cm and 9 cm and the length of the third side is expressed in whole centimeters. How many triangles does he have?
Count of roots
How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
Operations with sets
The set B - A has twice as fewer elements than the set A - B and four times fewer elements than the set A ∩ B. How many times more elements does the set A have than the set B?

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