Happy hour prices Part-3(revised)

Algebra Level pending

A bar is offering greatly reduced prices on their draft beer during their happy hour. (See above image for menu prices)

If a group of friends decide that they want to drink a total of 25 25 liters, how much would it cost them(minimum)?

Details and assumptions:

  • The bartender doesn't know mathematics, and he always gives:

1) $ 2 \$2 extra for each 1 2 \dfrac 12 L drink you buy,

2) $ 4 \$4 extra for each 1 1 L drink you buy and,

3) $ 11 \$11 extra for each 2 2 L drink that you buy

  • For example, if you buy a 1 1 L drink and pay him $ 50 \$50 , he will give you $ 44 \$44 instead of $ 40 \$40 .

  • You can buy at most ten 1 2 \dfrac 12 L drink.

  • You can buy drinks in natural numbers, i.e. you can't buy 12.5 12.5 glasses of 2 2 L drink.

  • You have just got $ 50 \$50 bills with you.

Try solving the creator version and it's second part too! Also if you would like to have some fun read this !!!
$40 $100 $80 $60

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1 solution

Sravanth C.
Jun 2, 2015

Due to the barkeeper's illiteracy the new price board becomes as follows.

  • 1 2 \dfrac 12 L drink \implies 3 2 = $ 1 3-2=\$1 ,
  • 1 1 L drink \implies 10 4 = $ 6 10-4=\$6 and
  • 2 2 L drink \implies 20 11 = $ 9 20-11=\$9

So, we can conclude that it is better to buy a 2 2 L drink instead of two 1 1 L drinks, because, 2 × $ 6 = $ 12 > $ 9 2×\$6=\$12>\$9

Also, we find that the 1 2 \dfrac 12 L drink is the cheapest. And as specified we can buy only 10 10 such drinks,we order for the specified quantity, i.e. 10 × $ 1 = $ 10 10×\$1=\$10 . Hence we get 5 5 L.

Now, as we are left with 25 5 = 20 25-5=20 L, we order for 10 10 , 2 2 L drinks which will cost us 10 × $ 9 = $ 90 10×\$9=\$90


So, the total cost is 10 + 90 = $ 100 10+90 \\ = \$100

Moderator note:

The problem seems unnecessarily complicated and convoluted.

Why are you so much into bars and drinks these days ? ;) :P

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Ah! Well that's because I broke my heart . . .

Sravanth C. - 6 years ago

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Don't worry bro , I'm about to break my heart in a few days .

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@A Former Brilliant Member Sorry, but I meant this . . .

Sravanth C. - 6 years ago

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@Sravanth C. -_-

I agree that it is really hard on you , but don't think of non-sensical stuff like alcohol and stuff . What are friends for ? We are there to trouble you ;P

Divert your mind towards something else .

Your friend :D

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@A Former Brilliant Member Thanks for your condolences!

But I am still a kid, and I never dreamt of drinking alcohol .

Sravanth C. - 6 years ago

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@Sravanth C. Of course you didn't . I was just pulling your leg and trying to lighten the situation :D

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@A Former Brilliant Member Thanks sir. BTW how did your JEE go?

Sravanth C. - 6 years ago

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@Sravanth C. No matter what me and the others tell , first see the paper yourself .

I found Math and Chem easy , but Phy was really hard .

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@A Former Brilliant Member Well I am not educated enough too solve such a paper sir.

Well did you get selected?

Sravanth C. - 6 years ago

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@Sravanth C. The result has not been released :P

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@A Former Brilliant Member Uh oh! Well I wish you all the best sir!

Sravanth C. - 6 years ago

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@Sravanth C. Thanks bro !


Why do you call me sir ? Should I call you student ? :P

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@A Former Brilliant Member Welcome! Well if you insist me I won't call you sir !

Sravanth C. - 6 years ago

@Sravanth C. I think you must look ahead and prepare for more challenges instead of recalling the bad experiences everyday.

Nihar Mahajan - 6 years ago

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@Nihar Mahajan I hope that happens soon, because my dad isn't been getting better since that incident . . . .

Sravanth C. - 6 years ago

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