Math 1350

posted by Ne Ne

Mrs. Smith's classroom can hold at the most 30 students. Her first period class had 4 boys for every 3 girls. When 3 boys and 1 girl were added to the class, the new ratio became 3 boys to 2 girls. How many total students are now in the class? Show all work and explain the process.

  1. Reiny

    original class:
    number of boys = 4x
    number of girls = 3x

    new class:
    boys --- 4x+3
    girls --- 3x + 1

    (4x+3)/(3x+1) = 3/2
    9x + 3 = 8x + 6
    x = 3

    original class
    boys = 12
    girls = 9 , notice ratio = 12:9 = 4:3

    new class
    boys = 15
    girls = 10
    , new ratio = 15:10 = 3:2

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math

    Mrs.Smith's class has 12 girls and 8 boys. What percent of he class are girls?
  2. math

    fifteen out of 25 students in Mrs. Smith's class are boys. what is the ratio of boys to girls?
  3. math

    8) A high school graduating class is made up of 445 students. There are 97 more girls than boys. How many boys are in the class?
  4. Math

    a class has 10 boys and 5 girls; three students are selected from the class at random one after other. the probability that the first two boys and the third is a girl?
  5. math

    Math word problem: There are 25 students in Mrs. Roberts 3rd grade class. There are 9 more boys than girls in the class. How many boys and girls are in Mrs. Robert's class.
  6. math

    There are 27 students in Mrs. Reeds class. The number of boys and number of girls are both composite numbers. There are 3 more girls than boys. How many girls and how many boys are in the class?
  7. math

    In a class of 80 seniors, there are 3 boys for every 5 girls. In the junior class, there are 3 boys for every 2 girls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?
  8. Math

    The ratio of boys to girls in a class is 6 to 5. How many girl students are there if there are 30 boys?
  9. algebra

    mrs. rays class has 18 girls and 9 boys. mr lis class has 16 girls and 8 boys. is the girl- boy ratio the same in each class. explain
  10. Math

    can you please help me work on this problem?

More Similar Questions