Calvin's Calorie intake - (2)

While setting problems on Brilliant, Calvin absentmindedly eats through 7 bags of gummy worms. He looks up the 'nutritional information' on the bag, and notices that each bag of gummy worms contains 6 servings, and each serving has a whole number of calories. Given this, Calvin calculated that he consumed just above 1000 calories. What is the minimum possible number of calories that Calvin could have consumed from these bags of gummy worms?

Try Part 1 here .


The answer is 1008.

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2 solutions

Nihar Mahajan
May 30, 2015

From the conditions , we are looking for the smallest number above 1000 1000 that is a multiple of 6 × 7 = 42 6 \times 7 = 42 . Since 1000 42 23.8 = 24 \lceil\frac{1000}{42}\rceil \approx \lceil 23.8 \rceil = 24 , the maximum number of calories that Calvin could have consumed is 24 × 42 = 1008 24 \times 42 = \boxed{1008}

dude i like your 'about urself' - "so u are luking at my status" :)

Ashwin Upadhyay - 6 years ago

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Hehe , thanks.

Nihar Mahajan - 6 years ago

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Wait so how would we know to round up to 24? I'm not great at math I was just curious

Amanda Diubaldo - 6 years ago

You beat me to the solution:)

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Hey , you posted the same solution!

Nihar Mahajan - 6 years ago

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Yours didn't show until after I had posted mine.

P.S. Great minds think alike! \color{#69047E}{\text{P.S. Great minds think alike!}}

P.P.S. Did you know that P.S. stands for Post Script? \color{#20A900}{\text{P.P.S. Did you know that P.S. stands for Post Script?}}

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@A Former Brilliant Member I didn't know that. BTW then whats P . P . S P.P.S ?

Nihar Mahajan - 6 years ago

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@Nihar Mahajan Post Post Script. Literally meaning "after after script".

Since 6 7 = 42 6*7=42 , we are looking for the smallest multiple of 42 42 above 1000 1000 . This will equal 1000 / 42 = 24 \lceil1000/42\rceil=24 . Therefore, the answer is 42 × 24 = 1008 42\times24=1008 .

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