Brain Teasers
Sweaty Chef's Kebab Shop
In the "Sweaty Chef" kebab shop, there are many different types of food, all at various prices (in the local currency, Madadian Wonks).
None of the prices are listed individually, but are displayed as part of special meal deal groups.
There are four groups which consist of the "Sweaty Chef's" main sellers of Kebabs, Fries and pop (soda) as follows:
Group I : 1 Kebab, 1 Fries and 1 Pop
Group II : 1 Kebabs, 5 Fries and 7 Pop
Group III : 1 Kebabs, 7 Fries and 10 Pop
Group IV : 9 Kebabs, 23 Fries and 30 Pop
Group II costs 300 Madadian Wonks (MW) and Group III costs 390MW.
Can you tell how much Group I and Group IV cost?
None of the prices are listed individually, but are displayed as part of special meal deal groups.
There are four groups which consist of the "Sweaty Chef's" main sellers of Kebabs, Fries and pop (soda) as follows:
Group I : 1 Kebab, 1 Fries and 1 Pop
Group II : 1 Kebabs, 5 Fries and 7 Pop
Group III : 1 Kebabs, 7 Fries and 10 Pop
Group IV : 9 Kebabs, 23 Fries and 30 Pop
Group II costs 300 Madadian Wonks (MW) and Group III costs 390MW.
Can you tell how much Group I and Group IV cost?
Answer
Group I costs 120MW and Group IV costs 1710MW.Assume that the values of one Kebab, one Fries and one Pop are K, F and P respectively.
From Group II : K + 5F + 7P = 300
From Group III : K + 7F + 10P = 390
Subtracting above two equations : 2F + 3P = 90
For Group I :
= K + F + P
= (K + 5F + 7P) - (4F + 6P)
= (K + 5F + 7P) - 2(2F + 3P)
= 300 - 2(90)
= 300 - 180
= 120
Similarly, for Group IV :
= 9K + 23F + 30P
= 9(K + 5F + 7P) - (22F + 33P)
= 9(K + 5F + 7P) - 11(2F + 3P)
= 9(300) - 11(90)
= 2700 - 990
= 1710
Thus, Group I costs 120MW and Group IV costs 1710MW.
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Comments
i like these types of teasers.
Had me wonked from the how do you figure this out part. Great job. I missed it entirely.
Good fun. A bit of fiddling with simultaneous equations and it falls out.
Im not good at math but i still enjoyed the taeser... good 1
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