math

there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4 boys in group a 32 more boys jioned the group. the total number og girls was then one third the total number of boys. express the number of girls who jioned group b as a fraction of boys who jioned group a

  1. 👍
  2. 👎
  3. 👁
  1. to begin, A = 5/2 B

    a boys joined A
    32/4 = 8, so 8A boys joined the group.so, A = 1/8 A

    b girls joined B
    So, now there are

    B+b = 1/3(9A) = 3A
    5/2 A + b = 3A
    b = 1/2 A
    b = 1/2 * 1/8 A = a/16

    example:
    A=12
    B=30

    A/4 = 3, so 3*32 = 96 boys joined A, making 1-8 boys in all

    B+b = 108/3 = 36
    so, 6 girls joined, or 96/16

    1. 👍
    2. 👎
  2. sorry about the mistyped capitalization. The lines in error should read

    a = 1/8 A

    and

    b = 1/2 * 1/8 a = a/16

    and there are 108 boys at the end, not 1-8

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Organic Chem

    In the most stable conformation of trans-1-isopropyl-3-methylcyclohexane, what positions do the methyl and isopropyl groups occupy? a) methyl group-axial, isopropyl group-equatorial b) methyl group-equatorial, isopropyl

  2. Math 5th

    4/7 of a group of children are boys. If there are 18 more boys than girls, how many children are there altogether?

  3. math

    James has to choose his options in his final year at school. He must choose one subject from each of five different option groups. In the first group, there are six subjects to choose from. In the second group, there are four

  4. Identifying controls and Variables

    Smithers thinks that a special juice will increase the productivity of workers. He creates two groups of 50 workers each and assigns each group the same task (in this case, they're supposed to staple a set of papers). Group A is

  1. Math

    A group of teachers and pupils attended a concert. The teachers paid $1200 altogether and the pupils paid $640 altogether for their tickets. The price of an adult ticket was $60 and there were 4 more female teachers than male

  2. Psychology

    A group of people viewed as competitors, enemies, or different and unworthy of respect is a(n). a. pariah b. in-group c. threat-group*** d. out-group

  3. chemistry

    What charge would most likely form on an ion from elements in the following groups? a) Group 1A b) Group 2A c) Group 6A d) Group 7A

  4. math (statistics)

    There are 15 qualified applicants for 5 trainee positions in a fast-food program. How many groups of trainees can be selected? I have a feeling that the answer is 75 but I'm not too sure. Any help is appreciated. Thank you! The

  1. science

    can somebody help answer these questions im lost 14. What group number(s) are the transition elements in? a. group 1 b. group 2 c. group 3-12 d. group 8

  2. chemistry

    The "Chemistry in Focus" segment A Magnetic Moment discusses the ability to levitate a frog in a magnetic field because electrons, when sensing a strong magnetic field, respond by opposing it. This is called diamagnetism. Atoms

  3. math

    There are 18 boys and 60 girls working on a community service project. They work in groups where each group has the same number of boys and the same number of girls. Q1: What is the first step to finding the greatest number of

  4. Science

    A scientisit performs tests on a sample of an element. The element is shiny solid that conducts electricity and heat. The scientist is able to bend and flatten the sample when pressure is applied to it. Based on this information,

You can view more similar questions or ask a new question.