# System of equations - 5th grade (10y) - math problems

#### Number of problems found: 30

- Benches

The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ? - Chestnuts

Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian? - Wine

A bottle of wine costs 21 euros; and wine is 20 times more expensive than a bottle. How much a bottle cost? - Father and son

Father and son are together 78 years. Son is 25 years younger than father. How old is the son? - Landlord

Landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now 5 ducats more? - The fruit basket

The fruit basket is five times heavier than the empty basket. Filled is 20kg heavier than empty. Determine the weight of the fruit in the basket. - Rectangle

The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference 96 cm? - Pets in ZOO

The zoo have run for pets. They are chickens, pigs and cow. Altogether there has 20 heads and 60 feet. How many chickens and piglets are there? - Rabbit family

Rabbit family ate 32 pieces of carrots, small one ate 6 pieces, dad 5 more than the mother. How much ate mom? - The same

The same number of rabbits and hens are running on the farm. 468 feet run around the yard. How many rabbits and hens do they have on the farm? - Birds

On the farm they have a total of 110 birds. Geese and turkeys together is 47. Hens is three times more than the turkey. How much is poultry by species? - Gardens

The garden has the square shape with circumference 124 m. Divide it into two rectangular gardens, one should circumference 10 meters more than the second. What size will have a gardens? - Two houses

There are twice as many people living in the first house as in the second house. Altogether, there are 81 of them living in both. How many people live in each house? - Cents

Julka has 3 cents more than Hugo. Together they have 27 cents. How many cents has Julka and how many Hugo? - Trio

Trio of workers earn 750 euros. Money divided by the work that each of them made. First received twice as the second, the second received three times more than the third. How many got everyone from workers? - Bag

Nelly found interesting point. An empty bag weighs 4 kg less than full. And empty bag is 5 times easier than full. How many kg weigh things in this bag? - Triangle ABC

In a triangle ABC side b measure 10 cm less than the side a and side b is half of the side c. Calculate the length of sides if the circumference of the triangle is 42 cm. - Rabbits

In the hutch are 48 mottled rabbits. Brown are 23 less than mottled and white are 8-times less than mottled. How many rabbits are in the hutch? - Two squares

Two squares whose sides are in the ratio 5:2 have a sum of its perimeters 73 cm. Calculate the sum of the area of these two squares. - Family

Martin has just as brothers as sisters. His sister Jana but has 2 times more brothers than sisters. a) How many children are in this family? b) How many boys and how many girls are in the family?

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