System of equations - math word problems - page 106 of 107
Number of problems found: 2127
- 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 6.6 Eur. The bottle is 0.6 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 23 minutes. The first pump is filled in 37 minutes earlier than the second one. How many minutes is filled with the first pump?
- Euler problem
Someone buys 720 tolars towels. If it were for the same money of 6 more towels, it would be 6 tolars cheaper each. How many towels were there?
- Rectangular field
One dimension of the rectangular field is 168 m greater than the second dimension. If each side of the rectangle increases by 9 m increases, the surface field is 2187 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
Michael has 2-times chestnuts less than Tonny. Together they have 312 chestnuts. How many chestnuts have Michael and Tonny?
- 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 2:16 and the perimeter is 1289.
- Barrel with liquid
Barrel with obilím weight 123 kg. When it sheds 56% of obilia, ha weight 74 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.
- Rectangle Anton
The difference between the length and width of the rectangle is 3. Length is 2-times larger than the width. Calculate the dimensions of the rectangle.
- 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.
- Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1702. Calculate how many books Ladislav could buy at the price of 30 and 28 euros if he doesn't want to fill the whole home library, and he can buy only 59 books
- Number ratio
Calculate two positive numbers. Its ratio is 6:18, and difference was 372.
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