math

Rufus is in charge of lighting a play. Half the lights he uses are white. Of the remaining lights, 1/3 have red filters, and 4 have blue filters. The 10 lights left have yellow filters. How many lights does Rufus use for the play?

  1. 👍 0
  2. 👎 0
  3. 👁 103
asked by Chen Sam
  1. 42. You split the total in half, one half is white the other half has 1/3 red filters meaning the 4 blue filters and 10 yellow filters represent 2/3. We now know that 1/3 of half of the lights is 7. 21 is one half of the lights 2 halves is 42.

    1. 👍 0
    2. 👎 0
    posted by Anonymous
  2. Using proper algebra:

    number of lights --- x
    white = x/2
    red = (1/3)(x/2) = x/6
    blue = 4
    yellow = 10

    x/2 + x/6 + 4 + 10 = x
    times 6

    3x + x + 6(14) = 6x
    84 = 2x
    x = 42

    42 lights in total

    check:
    whites = 21
    leaves 21
    red = (1/3)of 21 = 7

    sum = 21 whites + 7 red + 4 blue + 10 yello
    = 42

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    The CGJ girls plan to string a set of lights diagonally from two vertical poles for overhead lighting for dancing on the right side of the deck (see the diagram). The string of lights is sold in foot increments only. How many feet

    asked by Anonymous on December 20, 2013
  2. Math

    4. The CGJ girls plan to string a set of lights diagonally from two vertical poles for overhead lighting for dancing on the right side of the deck (see the diagram). The string of lights is sold in foot increments only. How many

    asked by Johnathan on January 7, 2016
  3. Art

    An interior designer hopes to create a cozy relaxing intimate environment in a restaurant. which lighting choice will best help to accomplish this goal A) overhead fluorescent lights B) energy-saving light bulbs C) red and orange

    asked by Help! on March 10, 2016
  4. Physics

    Lighting strike: Storm clouds build up large negative charges that dwell in a charge center. Suppose a storm cloud has -25 C in a charge center located 10 km above the ground. The negative charge center attracts an equal amount of

    asked by Cassie on March 22, 2013
  5. Language arts

    Which two characters engage in a power struggle in the story? (1 point)Rufus and Larry Dunn Rufus and Cody Byron and Momma Joey and Dad

    asked by Amy Deckson on December 10, 2012
  6. computer

    My laptop comes on but the screen is blank. The lights are lighting and the fan is running.what could be the problem?

    asked by alina on June 20, 2013
  7. Computer

    This problem is a base conversion problem masquerading as a "word problem". You are responsible for controlling the stage lights at a small theater. The control box has control switches for 10 separate lights, and each switch can

    asked by David on March 6, 2010
  8. Management 2

    Which type of lighting is most compatible with computer work? a. fluorescent, b.sunlight from windows, c. task lighting, d. colored lighting?

    asked by Xenia on December 8, 2009
  9. math

    Low-voltage lighting is a popular feature of landscaping. Two pathways meet at 30 degrees to each other. One pathway has the lighting, and the first light is placed where the two paths meet. The distance between successive lights

    asked by liz on October 29, 2007
  10. Finite Math

    A box contains two defective Christmas tree lights that have been inadvertently mixed with eight nondefective lights. If the lights are selected one at a time without replacement and tested until both defective lights are found,

    asked by Seth on November 20, 2014

More Similar Questions