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CAT 2001 | Question: 26

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At a certain fast food restaurant, Brian can buy $3$ burgers, $7$ shakes, and one order of fries for Rs. $120$ exactly. At the same place it would cost Rs. $164.5$ for $4$ burgers, $10$ shakes, and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of fries?

  1. Rs. $31$
  2. Rs. $41$
  3. Rs. $21$
  4. Cannot be determined

1 Answer

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Let the cost of 1 burger, 1 shake and 1 fries be a, b and c.
Then
3a + 7b + c = 120                         ... (i)
4a + 10b + c = 164.5                    ... (ii)

After subtracting (i) from (ii) 

a + 3b = 44.5                                ... (iii)


Multiplying (iii) by 4 and subtracting (ii) from it, we find
2b – c = 13.5                                 ...(iv)

Subtracting (iv) from (iii),

we get a + b + c(cost of one burger, one shake, and one order of fries)= 31.

Hence,Option (1)31 is the Answer.

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