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Question

If an SUV can transport 7 people, a car can transport 5, a jeep can transport 8 and an auto can transport 2 people, which of the following combinations can be used to exactly transport 25 people?


  1. 300US dollars

  2. 222 US dollars

  3. 180 US dollars

  4. 105 US dollars


Solution

The correct options are
A

300US dollars


C

180 US dollars


Let the number of rounds done by SUV be x, car be y, jeep be z and auto be p.
Thus the number of passengers transported will be 7x+5y+8z+2p ....   (1)
Checking options respectively:
1x=1,z=2,p=1
       Substituting these in (1)
       7 + 8 × 2 + 2 = 25.
       So option A is correct.
2x=2,y=2
       Substituting these in (1)
       7×2 + 8 + 5×2 = 24
       So option B is incorrect.
3x=1,y=2,z=1
       Substituting these in (1)
       7 + 5×2 + 8 = 25.
       So option C is correct.
4 Similarly substituting the values of option D. We will find number of people transported = 26
       So D is incorrect.

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