Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram 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 knew, 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?
Correct answer:
Tips for related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
Do you want to perform natural numbers division - find the quotient and remainder?
Do you want to perform natural numbers division - find the quotient and remainder?
You need to know the following knowledge to solve this word math problem:
- algebra
- integer equation
- prime numbers
- arithmetic
- cube root
- division
- planimetrics
- chord
- basic functions
- reason
- minimum
- numbers
- integers
- natural numbers
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Fruits
(I) bought three apples, two oranges, four pears, and five bananas, which in total cost £3.73. (i) I bought twenty-one apples, no oranges, eight pears, and fifteen bananas, which in total cost £7.57. (i) I bought one apple, eighteen oranges, fourteen pear - A machine 2
A machine shop ordered the following amounts of cold, rolled steel: 1714 lb., 597 lb., and 1043 lb. How many pounds of steel were ordered? - Big school kitchen
Suppose 250 learners can be fed by 75kg. How many kg can 600 learners be fed? - Humans
Humans exploring space have left behind bags of trash, bolts, gloves, and pieces of satellites. Let's say there are currently about 5,000,000 pounds of litter in orbit around Earth. Jenny says that this amount using number names is five billion. Is J
- The temporary
The temporary workers collected 358 kg of apples. They filled them into 8 kg boxes. How many boxes did they fill? Is there a box left unfilled? How many boxes did they need together? - Ratio
Alena collected 7.8 kg of blueberries, 2.6 kg of blackberries, and 3.9 kg of cranberries. Express the ratio in the smallest natural numbers in this order. - The bakery
The bakery delivered 60 kg of bread to the store. The bread weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg, and how many were two-kilo loaves? - Bread to kilos
They brought in d two kilos and t three kilos of bread to the store. By the end of the day, they sold 14 two-kg bread. How many kilos of bread remained in the store by the next day? - Children in the classroom
How many children are in the classroom, where Ladislav is 10th lightest and 16th heaviest in class?
- Brick weight
The brick weighs 4 kg and a half-brick. How much does one brick weigh? - The marathon
There are 12 athletes joining the Topolcany Marathon Event. How many ways can the first, second, and third placers be chosen? - Locker combination
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the probability that he will guess the first number correctly and the second number incorrectly? - Empty rooms
In the tourist dormitory, 44 students slept in eight rooms, some of which were four-bed and others six-bed. When two beds were empty, how many four-bed and six-bed rooms were there in the dormitory? - Multimodal or unimodal
The weights (in kg) of 13 students of a class are 37,39,33,32,41,33,37,45,43,39, 33,40,39 Find the mode & media of this data (F) Is there more than one mode?
- Grapes 2
Grapes cost 2.17 USD/lb. A costumer purchases 1 3/4 lb of grapes. How much did the costumer pay for the grapes round to the nearest cent? - Human population
The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000. What is the difference in the populations of the towns when t=4? - Megapolis
The total population of a city consists of 641,682 male adults, 593,118 female adults, and 182,345 children. Find the total population of the city.