Mathematics
Grade6
Easy

Question

Analyze the table below and answer the question that follow.

The unit rate of expensive brand is ____________.

  1. 8
  2. 2
  3. 3
  4. 5

hintHint:

Unit rate of purchase of a brand refers to the rate of 1 short offered by a particular brand.
Unit rate = Total cost/ Number of shorts.
Unit price of expensive brand will be determined by calculating Unit price offered by all 3 brands and selecting the one with highest price.

The correct answer is: 5


    Given-
    For Mart X- A. Total Cost = $ 48 and Number of shorts = 12
    For Mart Y- A. Total Cost = $ 72 and Number of shorts = 24
    For Mart Z- A. Total Cost = $ 70 and Number of shorts = 14
    To find- Unit price of expensive brand
    Solution-
       Unit Rate for Mart X = Total Cost / Number of shorts
    ∴ Unit Rate for Mart X = $ 48 / 12 ....................... (As per given information)
    ∴ Unit Rate for Mart X = $ 4 per short
       Unit Rate for Mart Y = Total Cost / Number of shorts
    ∴ Unit Rate for Mart Y = $ 72 / 24 ....................... (As per given information)
    ∴ Unit Rate for Mart Y = $ 3 per short
       Unit Rate for Mart Z = Total Cost / Number of shorts
    ∴ Unit Rate for Mart Z = $ 70 / 14 ....................... (As per given information)
    ∴ Unit Rate for Mart Z = $ 5 per short
    From the above calculations, we observe that Unit price of Mart Z is the highest ($ 5) among the 3 marts. Hence, Unit price of expensive brand among all the three brands is Mart Z i.e. $ 5 per short.
    Final Answer- 'Option D' i.e. 5.

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