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

- 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. - Dividing money

Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem. - Buns and toasts

Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh? - Wine

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

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

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

In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pa - 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? - Rabbit family

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

The toy shop sold the same number of balls for 62 CZK and skipping ropes for 34 CZK. They income was 576 CZK. How many sold balls and how many skipping ropes? - Cents

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

Bobek has 2 cabbages and 5 carrots, Bob has 2 cabbages and 9 carrots. When Bobek stepped on the scale weight 5800 g and when Bob weight 8960 g. Actual Bob weight is 8 kg and Bobek 5 kg. How much weighs one carrot? - Lentilka

Lentilka made 31 pancakes. 8 don't fill with anything, 14 pancakes filled with strawberry jam, 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate 4 of strawberry-cream cheese and all pure strawberry pancak - 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?

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