# System of equations + natural numbers - practice problems

#### Number of problems found: 85

- Two brothers

The two brothers have a total of 48 nuts. Two thirds of the nuts of the first correspond to 2/5 of the number of nuts of the second. How many nuts does everyone have? - Peter and Martin

Peter and Martin played by 67 balls. After the game, Peter had 9 more balls than Martin. How many balls did Martin win? Solve the help of the equation. - 4 digit number

I am a 4 digit number. my thousand period has a first digit which is thrice the second digit, the second digit is two more than the third digit, all the rest of the digits are zeros. What number am i? - Tickets 7

Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total ticket receipts were $1950. Compared to the number of children in attendance, three-fourths as many teenagers attended. How many - The sum

The sum of two numbers is 69 and the difference is 11. Which numbers are they? - Rabbits and chicken

There are rabbits and chicken at a farm, 41 heads and 132 legs in all. How many rabbits at the farm? - Children and horses

There are some children and horses in a field. Together they have 39 heads and 122 feet. How many children are in the field and how many horses are in the field? - Two numbers

One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers. - The sum 16

The sum of A and B is 36. The difference between A & B is 8. find the larger number of A. - Three unknown numbers

The sum of of three numbers is 106. the first number is 10 more then the third. The second number is 2x the third. What are the numbers? - The sum 8

The sum of two numbers is 21. If three times the smaller numbers is two less than twice the larger number, find the two numbers. - Fruit equation

Find how many peaches could be bought instead of buying one melon, one pear, one apple and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of peach, we get the price of plum • T - Two-digit number

In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number. - A number 4

A number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number is increase by 9. Find the original number - THE FARM

Hens, goats, and 3 cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm? - Photos

Three friends Mirka, Lucka, and Hanka, collect photos. If Mirka had 3 more photos than she has, she would have as many as Hanka. If Lucka had 5 photos less than she has, she would be like Hanka. How many photographs does each have if they have 431 togethe - They bought

They bought the students a set of notebooks for 65 euros. The first set cost € 2 and the second € 3. There were 5 times as many two-euro sets as three-set ones. How many sets of workbooks are there? - 1200 screws

1200 screws are to be divided into 3 groups so that in the 1st group there are 300 screws more than in the 2nd group and in the 2nd group 150 screws less than in the 3rd group. How many screws will be in each group? - Lcm to eliminate y

Identify the least common multiple that would eliminate the y-variable. 6x - 5y = -4 4x + 2y = 28 - Harry

Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi

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