math

Fifty umbrellas were sold on a rainy April day. Five times as many
red as blue were sold, three times as many green as blue, nine more
black than blue, and seven fewer purple than black. Five umbrellas
were purple and six were white. How many of each color were sold?

  1. 👍
  2. 👎
  3. 👁
  1. Break it down according to what you know, then you will be able to figure it out. Here is what we know. A good base will be blue, since there is much based off of it.
    x = blue
    5x = red
    3x = green
    x + 9 = black
    x + 2 = purple
    6 = white
    You know purple is 5, so figure out x, then you can do the rest.

    1. 👍
    2. 👎
  2. Red = 5Blue
    Green = 3Blue
    Black = Blue + 9

    Purple = Black - 7
    Purple = Blue + 9 - 7
    Purple = Blue + 2
    But Purple = 5
    Blue + 2 = 5
    Blue = 3

    then Red = 15
    Green = 9
    Black = 11
    Black = 4
    Purple = 5
    White = 6

    check: 15+9+11+4+5+6 = 50

    1. 👍
    2. 👎
  3. ihlqztg vonq znvwscoli zworvctp pdtcobf wbimro jvkopmcny

    1. 👍
    2. 👎
  4. UMBRELLAS

    White = 6
    Blue = x
    Red = 5x
    Green = 3x
    Black = x + 9
    Purple = x + 2

    The equation...
    6 + x + 5x + 3x + x + 9 + x + 2 = 50

    We know that purple is 5 so...
    x + 2 = 5
    x = 5 - 2
    x = 3

    Now we know that x = 3.

    This is the problem we started off with
    6 + x + 5x + 3x + x + 9 + x + 2 = 50
    now just plug in x...
    6 + 3 + 5(3) + 3(3) + (3) + 9 + (3) + 2 = 50
    6 + 3 + 15 + 9 + 12 + 5 = 50
    50= 50
    So this is correct

    White = 6
    Blue = 3
    Red = 15
    Green = 9
    Black = 12
    Purple = 5

    There are 6 white, 3 blue, 15 red, 9 green, 12 black, and 5 purple umbrellas.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. STATISTICS

    There are 10 colored balls in a box ( 5 red, 3 blue, 2 green ). What is the probability of picking out a red ball and then a blue ball ( If I do not replace the red ball

  2. Probability/Statistics

    1)Two marbles are chosen at random from a bag containing 3 blue and 2 red marbles. The relative-frequency histogram shows the distribution of the number of red marbles chosen. Find P(0 red). (the gragh shows 3/10 for 0 red, 3/5

  3. Science Help!

    Which of the following is true about the atom shown Choose two that apply. The picture shows one big red one in the middle with one blue ring on the outside that had 2 smaller red ones, and another blue ring outside of the first

  4. Math

    A bag contains equal numbers of red, blue, and yellow marbles. A student chooses a marble at random. What is the relationship between the probability that the marble is red and the probability that the marble is not red? A) P(red)

  1. Biology

    Two purple flowers (Bb) are bred with each other in the same garden. What are the odds that red (BB) and blue (bb) flowers will occur in the second generation? A. 50% red flowers; 50% blue flowers B. 25% red flowers; 75% blue

  2. precalculus

    There are two boxes. The red box contains four red marbles and one blue marble, and the blue box contains five blue marbles and three red marbles. The following experiment is done a hundred times: A marble is randomly drawn from

  3. experimental probability

    you spin a spinner 50 times. it lands on red 8 times, yellow 12 times, green 20 times, and blue 10 times. based on the results, what is the experimental probility of its landing on green or yellow? thanks I will be happy to

  4. Figurative Language

    LAST ONE LOL - Question : Her smile was as sweet as sunshine on a rainy day. Answer : Metaphor since her smile is being compared as the sunshine on a rainy day. - Clues: Hyperbole, Personification, Simile, or Metaphor.

  1. linear algebra

    The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specfically: if it is sunny on one day, it will be

  2. english

    In the story told by Outa Karel in “The Little Red Tortoise,” why is the little red tortoise considered a dynamic character? Select all that apply. The Little Red Tortoise 1.He shows different emotions, from being brave to

  3. math

    A spinner is divided into blue green and red parts. George spins the spinner 300 times. Below is the table of outcome Part Time Spun Blue 91 Green 107 Red 102 Based on the table what was George's experimental probability of

  4. Probability

    1. The chart below shows the possible options for pants, shirts, and shoes in Tom’s closet. Which tree diagram correctly shows the possible outfits he can wear? Pants- jeans(j) khakis(k) Shirts- yellow(y) blue(b) checked(c)

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