System of equations - math word problems - page 102 of 103
Number of problems found: 2050
- Purchase
Three buyers paid € 468. The first paid 3-times more than the second, and the third half over the second. How many euros were paid to each of them?
- Gear
Two gears fit into each other and have a transfer of 1:2. The centers of gears are spaced 96 cm. What are the radii of the gears?
- Pool
If water flows into the pool through two inlets, it will fill for 20 hours. If the first inlet fills the pool 8 hour longer than the second, how long does it take to fill with two inlets separately?
- R triangle
Calculate the right triangle area whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
- Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than the cork. How much are a bottle and the cork?
- Function
For linear function f(x) = ax + b is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018.
- Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump?
- Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many towels were there?
- Rectangular field
One dimension of the rectangular field is 56 m greater than the second dimension. If each side of the rectangle increases by 10 m increases, the surface field is 1480 m². Find dimensions of the field.
- Rectangle SS
The perimeter of a rectangle is 154 dm, and its diagonal is 62.36 dm. Find the dimensions of the rectangle.
- Chestnuts
Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts have Neil and Adrian?
- Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle.
- 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?
- Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line.
- The cyclist
The cyclist went from village to town. The first half of the journey went at 24 km/h. The second half of the journey, which mostly fell, went at 38 km/h. All journeys took 94 minutes. Calculate the distance from the village to the town.
- Father and son
Father and son are 74 years old together. The son is 30 years younger than the father. How old is the son?
- Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and the perimeter is 388.
- 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.
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