Arithmetic

A box in a college bookstore contains books, and each book in the box is a history book, an English book or a science book. If one-third of these books are history books and one-sixth are English books, what fraction of the books are science books?

A. 1/3
B. 1/2
C. 2/3
D. 3/4

****please explain this problem to me because I'm sure to have similar ones like this on my real exam.

Thank you in advance

  1. 👍
  2. 👎
  3. 👁
  1. B-1/2
    Let no. of books be x
    No. of history books equal x into 1/3 I.e.x/3
    No. Of English books equal x into 1/3 I.e. x/6
    Rest books = no. Of science books
    =total books -(history books+English books)
    =×-(×/3 +×/6)
    =x-(3x/6)
    =x-x/2
    =x/2 books are of science of total books I.e. x
    No of science book is 1/2 of total books

    1. 👍
    2. 👎
  2. Thank You

    1. 👍
    2. 👎
  3. As per the probability rule
    Total of all probability is 1

    So,
    P(History)+P( English)+P( Science) = 1

    1/3 + 1/6 + P( Science) = 1

    P( Science) = 1- (1/3 + 1/6) = 1 - 1/2

    P( Science) = 1/2

    1. 👍
    2. 👎
  4. 1/3+1/6+ science = Find the LCM (lowest common Multiple).
    the LCM for 1/3 is 2.
    the LCM for 1/6 is 1.
    Multiply both numerator and denominator, which gives you
    2/6 + 1/6 = science
    then add the 2 and 1
    copy the 6 at the bottom which result 3/6 then simplify to lowest form which 1/2.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 173.0 N at an angle of 31° with the horizontal. The box has a mass of 40 kg, and the coefficient of kinetic

  2. physics

    A box of books weighing 319 N is shoved across the floor by a force of 485 N exerted downward at an angle of 35 degrees below the horizontal. a. If 'uk' between the box and the floor is 0.57, how long does it take to move the box

  3. Physics

    Two horizontal forces, F1-> and F2-> , are acting on a box, but only F1->is shown in the drawing. F2-> can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the

  4. algebra

    A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 25 books and each large box can hold 40 books. A total of 7 boxes were sent

  1. Physics

    A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 130 N at an angle of 30.0° above the horizontal. The box has a mass of 24.0 kg, and the

  2. Physics

    1.A student moves a box of books down the hall by pulling on a rope attached to the box. The student pulls with a force of 181 N at an angle of 20.8◦ above the horizontal. The box has a mass of 40.3 kg, and μk between the box

  3. physics

    A student pulls on a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 182N at an angle of 25° above the horizontal. The box has a mass of 35kg and &mu k between the box and the

  4. physics

    a delivery person pulls a 20.8 kg box across the floor. the force exerted on the box is 95.6n (35 above the horizontal). the force of kinetic friction on the box has a magnitude of 75.5n. the box starts from rest. using the

  1. physics

    A student moves a box of books down the hall by pulling on a rope attached to the box. The student pulls with a force of 173 N at an angle of 27.5 above the horizontal. The box has a mass of 27 kg, and μk between the box and the

  2. physics

    A 1.5 kg box moves back and forth on a horizontal frictionless surface between two springs.? The box is initially compressed against the stronger spring, K=32 N/cm, 4.0 cm and released from rest. The smaller box is K=16 N/cm. A)

  3. PHYSICS

    Two horizontal forces, F1 and F2, are acting on a box, but only F1 is shown in the drawing. F2 can point either to the right or to the left. The box moves only along the x axis. There is no friction between the box and the

  4. Physics-forces

    1. a force of 250N is used to push a heavy box down the street. If the force of friction between the box and the street is 195N and the box has a mass of 60kg, what is the accleration of the box? 2.a force of 40N is applied to a

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