System of equations - practice for 12 year olds - page 7 of 12
Number of problems found: 239
- Measurements 2728
Three friends weighed themselves so that two always stood on the scale, and the third wrote down the measured weight. After all the measurements, the numbers written on the paper were 60 kg, 64 kg, and 66 kg. Determine the mass of each boy. - Brothers 2726
The three brothers are 42 years old together. John is five years younger than Peter. Peter is two years younger than Michael. How old are they? - There 2723
There are three times as many geese as hares on the farm. They have a total of 60 feet. How many geese are on the farm? - Mother and daughter
The ratio of mother and daughter years is 5:2. After seven years, the ratio is 2:1. How many years ago was the daughter born?
- Saving
Paul saves 155Kč in 46 2 Kc and 5Kc coins. How much saved 2Kc and 5Kc coins? - Bob and Bobek
Bobek runs from the hat at an average speed of 12 km/h at 10:20. At what time must Bob run out at a speed of 18 km/h to catch him 9 kilometers from the hat? - Passenger car and truck
From Kutna Hora left at 11:00 clock a truck at 60 km/h. At 12:30, behind him started the passenger car at an average speed of 80 km/h. At what time and how far from Kutna Hora overtake a passenger car truck? - Weights
Marry and John together, weighing 49 kg. Their weights are in a ratio of 1:6. Determine their weights. - Saved 2490
Žeňa and Ivan saved a total of 800 CZK. How much did Ivan save if he had saved 80 CZK more than Žeňa?
- Saving
The boy has saved 50 coins, € 5, and € 2. He saved € 190. How many were € 5, and how many were € 2? - Commuters 2428
A total of 750 pupils attend the school. 20% of students are commuters. 18% of pupils commute in the first grade and 23% in the second grade. How many first graders does the school have? - Addends
Number 118 divide into two addends, so the first addend is 69 greater than 75% of the second addend. - Three friends
Peter is eight times older than Rado, and Rado is three times younger than Joseph. Together they have 120 years. Determine how many are each of them. - Buttons
The shirt has six buttons, and the blouse has four buttons. All buttons are 176. Shirts and blouses are together 36. How many shirts and blouses?
- Tickets
The football tournament ticket cost 45 Kc for standing and 120kč for sitting. Sitting spectators was 1/3 more than standing. The organizers collected a total of 12300 Kc. How many seated and standing seats (spectators)? - Birds
On the farm, they have a total of 110 birds. Geese and turkeys together are 47. Hens are three times more than the turkey. How much is poultry by species? - Container with water
The weight of a container with water is 2.48 kg. Suppose the cast is 75% water, and the container with water weighs 0.98 kg. Determine the weight of the empty container. How much water was originally in the container? - Three siblings
Three siblings have a birthday in one day-today. Together they have 35 years today. The youngest is three years younger than the middle, and the oldest is five years older than the middle. How old is each? - Two numbers
Determine the numbers x and y, so x + y = 8 is true, and the numbers are in the ratio of 4:5.
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