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 participants of the second excursion also attended the third. Four pupils participated at all three excursions. How many pupils were in the 9A class?

Correct answer:

n =  29

Step-by-step explanation:

n1=15(8+74)=4 n2=15(7+54)=7 n3=15(8+54)=6   n=n1+n2+n3+(7+8+53 4)+4=4+7+6+(7+8+53 4)+4=29



We will be pleased if You send us any improvements to this math problem. Thank you!



avatar




You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Sports games
    kureci_olympiada Pupils of same school participated district sports games. When dividing into teams found that in the case of the creation teams with 4 pupils remaining 1 pupil, in the case of a five-member teams remaining 2 pupils and in the case of six-members teams rem
  • Four classses
    think Students of all 7, 8 and 9 classes in one school may take up 4,5,6 and 7 abreast and nobody will left. How many is the average count of pupils in one class if there are always four classes each grade?
  • Dentist
    zubna-pasta_4 Class 5. A participated in a preventive dental examination. A quarter of the pupils found two dental caries, an eighth of the pupils found one caries. Half the class had all their teeth healthy. How many students attend class 5. A if 4 students were missi
  • Small painters
    venn_intersect_1 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?
  • Milk
    cow There were 22 liters of milk in three containers. There was 6 liters more in the first container than in the second. After pouring 5 liters from the first container into the third container, the same quantity of milk is in the second and third container.
  • Mba studium
    skola_18 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
  • There 5
    cinema There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended?
  • Word problem
    hungary-flag 348 students were on holiday in Hungary. 133 bought pizza, chips 28 pupils, 25 pupils bought soda, butter 26 pupils, 15 pupils fruits, vegetables 29 students. How much pay for all the food, if every meal cost 5.3 euros?
  • Class 9A
    boy On the final certificate have one quarter of the class 9A mark "C" of mathematics, seventh mark "C" from the Czech language and two students failed in chemistry. How many students attend class 9A?
  • Four-digit numbers
    numberline Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
  • Red and white
    tulipany Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three of which were always red. How much could Simon tear off white tulips? Write all the opti
  • Five pupils
    lavicka_1 Five pupils clean 30 chairs one hour before four pupils. How many chairs clean one pupil in 1 hour?
  • Holidays
    ndr 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
  • Rings - intersect
    venn_1 There are 15 pupils on the sporting ring. 10 pupils go to football, 8 pupils go to floorball. How many pupils go to both rings at the same time?
  • Four families
    Rodina-01 Four families were on a joint trip. In the first family, there were three siblings, namely Alica, Betka and Cyril. In the second family were four siblings, namely David, Erik, Filip and Gabika. In the third family, there were two siblings, namely Hugo and
  • Dance ensembles
    dancers 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
  • Wedding guests
    svatba_hatalovi Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.