System of equations - math word problems - page 36 of 107
Number of problems found: 2130
- Consecutive natural numbers
Determine three consecutive natural numbers, the sum of which is 66. - Father and son
When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I? - Soccer balls
Pupils in one class want to buy two soccer balls together. If each of them brings 12.50 euros, they will miss 100 euros; if each brings 16 euros, they will remain 12 euros. How many students are in the class? - Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return? - The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel? - Slovakia trip
The Poznáváky family traveled by car for 3 days in Slovakia. On the first day, they covered twice as many kilometers as on the second day, and on the third day, they covered 50 kilometers more than on the second day. They drove a total of 700 kilometers i - Brother age calculation
The two brothers are 41 years old. One is seven years older than the other. How old is your younger brother? - Blue-eyed inhabitant calculation
480 people live in the village of Grandmother. There are seven times fewer blue-eyed people than people with different eye colors. How many inhabitants of the village are blue-eyed? - Grapes harvesting
The foreman harvested grapes for three days, a total of 2,510 kg. On the second day, they peeled 480 kilograms less than the first day, the third day, and 25% more than the first day. How many kilograms of grapes did the part-timers pick the second day? - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed? - Seller weekend earnings
During the holidays, the seller earned € 21,060. He earned 40% more on Saturday than on Friday. He earned € 2,500 less on Sunday than on Saturday. How many euros did the seller make on Saturday? - When I
When I am as old as my older brother is today, my brother will be twice as old as I am today. a) How old is my brother if I am 8 years old today? b) How old am I if my brother is 21 today? - Part-time workers
Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received. - Reservoir volume calculation
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third. - Chocolate purchase calculation
We bought 50 kindergartens of two types for the kindergarten - milk for 16 CZK per piece and hazelnuts for 11 CZK per piece. We paid a total of CZK 700. How many chocolates were there? - Chestnut collection calculation
The boys from the science club collected 150 kg of chestnuts in three days for the winter feeding of forest animals. On Monday, they collected 10 kg more than on Tuesday. On Wednesday, after school, they picked two-thirds of the weight of chestnuts they p - Pine
At the beginning of the month, there was four times more pine lumber in the warehouse than spruce. 512 cubic meters of pine lumber and 62 cubic meters of spruce lumber were processed during the month. At the end of the month, the same amount of both types - Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 - Tour participant calculation
Forty-eight people took part in the tour. Among them were men, women, and children. There were four more women than men and six fewer children than half of the adults. How many men, women, and children took part in the tour? - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3]
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