# Grade 5 math problem but no Olympian can solve it, after hearing the answer, the audience should apologize too!

The way to Olympia After 22 years of broadcasting, this is a program that has a certain level of appeal, especially for students. One of the reasons why Olympia is so loved is the large and extensive collection of questions. With each question the audience gathers a new knowledge.

At Olympia in the seventeenth year, in a weekly competition, there was a question about finishing in the field of mathematics, but this question made it difficult for all competitors. The question contains: “A fish with a tail weighs 150 grams, its head weighs about half its tail and its body weighs as much as its head and tail. How many grams does a fish weigh?”

The candidate facing the above question gave 400g answer but it was wrong. After that, the three friends who played together did not ring the bell to ask for an answer. By the time the MC announces the answer from the BTC side, everyone will regret it, because it is so simple.

Based on the problem data, the tail of the fish weighs 150 grams and the tail and half of the body of the fish weigh the head. we have :

Body = head + tail (1)

Head = tail + 1/2 body (2)

We have (2) instead of (1)

Body = head + tail + 1/2 body => body = tail x 2 + 1/2 body

=> 2 tails = 1/2 body => 4 tails = body

=> Body = 150 x 4 = 600 g => Head = 150 + (600: 2) = 450 g

Weight of fish: 450 + 600 + 150 = 1200 g