Gym Puzzle

Algebra Level 2

Sam is a muscle builder.

  • Sam needs 1,5 gram of protein each 1 kg of his Weight for build muscles each day

  • When the first day he joined fitness, He drank 75 gram of protein.

  • Now he is 69 kg. He has been joining the gym for 20 days.
  • From the 1st day until now (20th day) He has gained his weight
  • He gained the same weight each day
  • He drink protein each day which is 1,5 gram of protein every 1 kg of his Weight

How many protein he has drank from the first day until the 20th day ?

9,823 kg 3,822 kg 5,847 kg 1,785 kg 3,972 kg

David Agustinus by David Agustinus , 21, Sweden

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1 solution

David Agustinus
Jun 2, 2017

  • The point is that He drink 1,5 gram of protein each 1kg of his weight each day.

  • The first day he drank 75 gram of protein.

  • 75 / 1,5 = 50 , so He was 50kg first day.

  • The 20th day he is 69 kg.

  • 69 kg - 50 kg = 19kg

  • it's mean he has gained 19 kg from the first day to the 20th day.

  • He has gained the same weight each day!

So it looks like this

  • First day to 20th day.
  • 50 kg, 51 kg, 52 kg, 53 kg, 54 kg
  • 55 kg, 56 kg, 57 kg, 58 kg, 59 kg
  • 60 kg, 61 kg, 62 kg, 63 kg, 64 kg
  • 65 kg, 66 kg, 67 kg, 68 kg, 69 kg

So he gained 1 kg each day.

*He drink 1,5 gram of protein each 1kg of his weight each day

  • 50 x 1,5 gram + 51 x 1,5 gram + 52 x 1,5 gram + 53 x 1,5 gram + .................... + 69 x 1,5 gram
  • = 1,5 gram ( 50 + 51 + 52 + 53 + 54 + .......... + 69 )
  • = 1,5 gram ( 1 + 49 + 2 + 59 + 3 + 49 + ... + 20 + 49 )
  • = 1,5 gram (( 49 x 20 ) + 1 + 2 + 3 + 4 + 5 + 6 + 7 + ... + 20)
  • = 1,5 gram (( 980 ) + 210 )
  • = 1,5 gram ( 1190 )
  • = 1785 gram

1785 gram is 1,785 kg

so he has drank 1,785 kg of protein. :)

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