# Endless lego set

The endless lego set contains only 6, 9, 20 kilograms blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And of course, they wrote down how much the building weighed. They noticed that a 7 kg structure could not build them. Others do. Finally, they decided to find out from what least weight they already know, using 6, 9 and 20 kilograms, to build each building. What is the smallest weight of the building from which all the heavier buildings can be built?

**Result****Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):**

**Showing 0 comments:**

**Be the first to comment!**

#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Basket of fruit

In six baskets, the seller has fruit. In individual baskets, there are only apples or just pears with the following number of fruits: 5,6,12,14,23 and 29. "If I sell this basket," the salesman thinks, "then I will have just as many apples as a pear." Which - Sum of two primes

Christian Goldbach, a mathematician, found out that every even number greater than 2 can be expressed as a sum of two prime numbers. Write or express 2018 as a sum of two prime numbers. - The dice

What is the probability of events that if we throw a dice is rolled less than 6? - Theorem prove

We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started? - Diofant equation

250x + 120y = 5640 - Legs

In the room are four-legged chairs, three-legged stool, and all are sitted with (one) people. I counted all the leg room and there were a total of 39. How many are there chairs, stool and people? - Sheep

Shepherd tending the sheep. Tourists asked him how much they have. The shepherd said, "there are fewer than 500. If I them lined up in 4-row 3 remain. If in 5-row 4 remain. If in 6-row 5 remain. But I can form 7-row." How many sheep have herdsman? - Divisors

The sum of all divisors unknown odd number is 2112. Determine sum of all divisors of number which is twice of unknown numbers. - One hundred stamps

A hundred letter stamps cost a hundred crowns. Its costs are four levels - twenty tenths , one crown, two-crown and five-crown. How many are each type of stamps? How many does the problem have solutions? - Gauss

Help little C.F. Gauss sum all the integers from 1 to 420. - Hexagon = 8 parts

Divide the regular hexagon into eight equal parts. - Antennas

If you give me two antennas will be same. If you give me again your two antenna I have a 5× so many than you. How many antennas have both mans? - Three-digit

How many three-digit natural numbers do not have the number 7? - Candies

If Alena give Lenka 3 candy will still have 1 more candy. If Lenka give Alena 1 candy Alena will hame twice more than Lenka. How many candies have each of them? - Balls

Michal said to Martin: give me one ball and I'll have twice as you. Martin said: give me 4 and we will have equally. How many balls each have? - Two unknown numbers

One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers. - Numbers

Write smallest three-digit number, which in division 5 and 7 gives the rest 2.