System of equations - practice for 12 year olds - last page
Number of problems found: 238
- Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture? - Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Elections
The elections attended a total of 4818 voters. First-day 39 men more than women, the second-day 21 women more than men. How many women attended elections? - College
At the college are at 45 rooms, 158 students. Some rooms are triple and some quad. How many triple and quadruple rooms there is if it is all fully occupied?
- Motion
If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station? - Motion
From two different locations, distant 232 km started against car and bus. The car started at 7:10 with an average speed of 74 km/h. The bus started at 8:40 with an average speed of 48 km/h. When did they meet? How many kilometers went the bus? - Motion
Cyclist started at 9:00 from point S to point T. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes, he met the first cyclist, and after the next 8 minutes, the second - Motion2
The cyclist started off town at 19 km/h. The car started after 0.7 hours behind him in the same direction. It caught up with him for 23 minutes. How fast and how long went the car from the city to catch cyclists? - Purchase
Three buyers pay € 468. The first paid 3-times more than second, third half over second. How many euros were paid to each of them?
- Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than cork. How much are a bottle and the cork? - Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel? - Barrel with liquid
Barrel with grain weight 297 kg. When it sheds 48% of grain, ha weight 174 kg, what is the weight of an empty barrel? - Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles. - Circle arc
The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle.
- Number ratio
Calculate two positive numbers. Its ratio is 6:6, and difference was 0. - Two numbers
Find two numbers whose difference and the ratio are $n. - Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers? - Right triangle Alef
The obvod of a right triangle is 84 cm, and the hypotenuse is 37 cm long. Determine the lengths of the legs.
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