There are 5 pencil-cases on the desk. Each pencil-case contains at least 10 pencils, but not more th

Discussion in 'Calculator Requests' started by math_celebrity, Jan 3, 2020.

Tags:
  1. math_celebrity

    math_celebrity Administrator Staff Member

    There are 5 pencil-cases on the desk. Each pencil-case contains at least 10 pencils, but not more than 14 pencils. Which of the following could be the total number of pencils in all 5 cases?

    A) 35
    B) 45
    C) 65
    D) 75

    Determine the minimum amount of pencils (At least means greater than or equal to):
    Minimum Amount of pencils = Cases * Min Quantity
    Minimum Amount of pencils = 5 * 10
    Minimum Amount of pencils = 50

    Determine the maximum amount of pencils (Not more than means less than or equal to):
    Maximum Amount of pencils = Cases * Min Quantity
    Maximum Amount of pencils = 5 * 14
    Maximum Amount of pencils = 70


    So our range of pencils (p) is:
    50 <= p <= 70

    Now take a look at our answer choices. The only answer which fits in this inequality range is C, 65.
     

Share This Page